2:09
Integrate on f(x)=3x^2 from [-1, 2]
4:01
What is a Limit?
3:56
Area Between Two Curves
4:31
Revolving a Function over the x-axis
2:36
Basic Infinite Geometric Series Part 2
Basic Infinite Geometric Series Part 1
0:40
MinuteMath Lessons
1:50
Power Rule
5:17
Shut Up and Dance "use SohCahToa" mathematics cover
2:05
The Product Rule
2:10
Differentiate y = x^2 sinx
2:13
Differentiate h(t)= sqrt(t) (a + bt)
1:35
Differentiate f(x)=sqrt(x) sinx
2:27
Differentiate J(v)=(v^3-2v)(v^-4+v^-2)
1:23
Differentiate y = sinx cosx
1:31
Differentiate y=5
2:35
Differentiate f(x)=5x^18
3:37
Differentiate y=4x^5+x
3:10
Differentiate f(x)=4x^4-5x-3
2:53
Differentiate y=3x^(5/4)
3:25
Differentiate y=(5/4)x^(2/3)
2:39
Differentiate y=-4x^-5
3:00
Differentiate y=3/x^3
2:37
Differentiate y=x^(2/3)
3:38
Differentiate f(x)=-2(4th root(x))
3:58
Differentiate y=(2/3)x^4+5x-x^-3
3:52
Differentiate y=(-1/2)x^4+3x^(5/3)+2x
Differentiate y=-3r^5-5r^2
3:47
Differentiate f(s)=(-3/s^2)-(4/s^4)
2:03
Differentiate f(x)=(2/3)x^(3/2)-(3/4)x^(3/5)
4:54
Differentiate h(s)=sqrt(2)cbrt(s)+sqrt(2)5th-rt(s)
2:04
Differentiate with respect to x: y=5c
4:14
Differentiate with respect to x: y=4ax^3a-bx^3c
1:52
y=-x^2 find d^2y/dx^2
2:45
f(x)=4x^3 find f"
3:01
y=-4x find d^3y/dx^3
2:47
f(x)=5x^4 find f'''
3:06
y=-5x^4 find d^4y/dx^4
3:09
y=3x^5-2x find d^3y/dx^3
4:27
y=-2x^3-4x^-3 find d^3y/dx^3
5:44
y=-x^2+2(5th-rt(x^2)) find d^3y/dx^3
5:53
y=99x^99 find d^100y/dx^100
f(x)=x^99 find f^(99)
3:32
Differentiate with respect to x: y=-x^3(3x^4-2)
3:16
Differentiate with respect to x: f(x)=x^2(-3x^2-2)
3:42
Differentiate with respect to x: y=(-2x^4-3)(-2x^2+1)
3:24
Differentiate with respect to x: f(x)=(2x^4-3)(x^2+1)
3:29
Differentiate with respect to x: f(x)=(5x^5+5)(-2x^5-3)
4:21
Differentiate with respect to x: f(x)=(-3+x^-3)(-4x^3+3)
5:04
Differentiate with respect to x: y=(-2x^4+5x^2+4)(-3x^2+2)
4:56
Differentiate with respect to x: y=(x^4+3)(-4x^5+5x^4+5)
4:46
Differentiate with respect to x: y=(5x^4-3x^2-1)(-5x^2+3)
8:19
Differentiate with respect to x: y=(-10x^2-7(5th rt(x^2))+9)(2x^3+4)
6:01
Differentiate with respect to x: y=(5+3x^-2)(4x^5+6x^3+10)
6:14
Differentiate with respect to x: y=(-6x^4+2+6x^-4)(6x^4+7)
6:18
Differentiate with respect to x: f(x)=(-7x^4+10x^2/5+8)(x^2+10)
Prove (f • g)' ≠ f' • g' for any functions f and g
4:30
Differentiate with respect to x: f(x)=2/(2x^4-5)
4:20
Differentiate with respect to x: f(x)=2/(x^5-5)
5:37
Differentiate with respect to x: f(x)=5/(4x^3+4)
8:01
Differentiate with respect to x: y=(4x^3-3x^2)/(4x^5-4)
5:15
Differentiate with respect to x: y=(3x^4+2)/(3x^3-2)
6:15
Differentiate with respect to x: y=(4x^5+2x^2)/(3x^4+5)
6:27
Differentiate with respect to x: y=(4x^5+x^2+4)/(5x^2-2)
Differentiate with respect to x: y=(3x^4+5x^3-5)/(2x^4-4)
6:55
Differentiate with respect to x: y=(x^3-x^2-3)/(x^5+3)
8:02
Differentiate with respect to x: y=(x^4+6)/(3-4x^-4)
12:04
Differentiate with respect to x: y=(4x^4-4x^2+5)/(2x^5/3+3)
5:27
Prove (f/g)' ≠ f'/g' for any functions f and g
3:40
Differentiate with respect to x: y=(x^3+3)^5
3:12
Differentiate with respect to x: y=(-3x^5+1)^3
2:58
Differentiate with respect to x: y=(-5x^3-3)^3
2:43
Differentiate with respect to x: y=(5x^2+3)^4
4:04
Differentiate with respect to x: f(x)=4th-rt(-3x^4-2)
Differentiate with respect to x: f(x)=sqrt(-2x^2+1)
Differentiate with respect to x: f(x)=cbrt(-2x^4+5)
Differentiate with respect to x: y=(-x^4-3)^-2
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4:08
Differentiate with respect to x: y=((x^3+4)^5)/(3x^4-2)
3:36
Differentiate with respect to x: y=((x+5)^5-1)^4
6:48
Differentiate with respect to x: y=(5x^3-3)^5((4th-rt(-4x^5-3))
Give a function that requires three applications of the chain rule and differentiate
2:30
Find the slope between: (15,8), (-17,9)
1:46
Evaluate: lim 5 as x approaches -1
2:16
Evaluate: lim (-x+2) as x approaches -5/2
2:32
Evaluate: lim (x^3-x^2-4) as x approaches 2
2:41
Evaluate: lim ((-x^2)/2+2x+4) as x approaches 1
2:21
Evaluate: lim -√(x+3) as x approaches 3
2:34
Evaluate: lim -√(2x+4) as x approaches 3/2
3:14
Evaluate: lim -(x-4)/(x^2-6x+8) as x approaches 1
4:16
Evaluate: lim (-x-3)/(x^2+x+1) as x approaches 3/2
1:41
Evaluate: lim sin(x) as x approaches π
Evaluate: lim 2cos(x) as x approaches 3π/4
2:33
Critical Thinking Question: Give an example of a limit that evaluates to 4
Give an example of a limit of a quadratic function where the limit evaluates to 9
Differentiate f(x)=sin(2x^3)
Differentiate y=tan(5x^3)
2:40
Differentiate y=sec(4x^5)
2:38
Differentiate y=csc(5x^5)
Differentiate y=(2x^5+3)cos(x^2)
Differentiate y=(-2x^2-5)/cos(2x^3)
3:35
Differentiate f(x)=sin^3(x^5)
4:13
Differentiate f(x)=cos(-3x^2+2)^2
3:44
Differentiate y=cos^-1(-5x^3)
3:05
Differentiate y=sin^-1(-2x^2)
Differentiate y=tan^-1(2x^4)
Differentiate y=csc^-1(4x^2)
3:50
Differentiate y=(sin^-1(5x^2))^3
4:15
Differentiate y=sin^-1(3x^5+1)^3
Differentiate y=(cos^-1(4x^2))^2
4:11
Differentiate y=cos^-1(-2x^3-3)^3
1:34
Differentiate y=ln(x^3)
2:17
Differentiate y=e^(2x^3)
3:30
Differentiate y=ln(ln(2x^4))
Differentiate y=ln(ln(3x^3))
Differentiate y=cos(ln(4x^3))
3:04
Differentiate y=e^(e^(3x^2))
3:27
Differentiate y=e^((4x^3+5)^2)
3:59
Differentiate y=ln(4x^2)•(-x^3-4)
Differentiate y=ln((-(4x^4)/(x^3-3))^5)
3:53
Differentiate y=(e^(5x^4))/(e^(4x^2+3))
3:02
Differentiate 2x^3=2y^2+5
Differentiate 3x^2+3y^2=2
Differentiate 5y^2=2x^3-5y
3:15
Differentiate 4x^2=2y^3+4y
3:19
Differentiate 5x^3=-3xy+2
3:45
Differentiate 1=3x+2x^2y^2
5:10
Differentiate 3x^2y^2=4x^2-4xy
4:49
Differentiate 5x^3+xy^2=5x^3y^3
Differentiate 2x^3=(3xy+1)^2
5:59
Differentiate x^2=(4x^2y^3+1)^2
Differentiate sin 2x^2y^3=3x^3+1
Differentiate 3x^2+3=ln 5xy^2
2:19
Integrate ∫-24x^5 dx
1:57
Integrate ∫-3 dx
1:55
Integrate ∫-6x dx
1:47
Integrate ∫12x^2 dx
2:44
Integrate ∫(-24x^5-10x) dx
2:28
Integrate ∫(-9x^2+10x) dx
Integrate ∫4x^-5 dx
2:22
Integrate ∫-2x^-3 dx
3:11
Integrate ∫(-2x^-3+20x^-5) dx
2:56
Integrate ∫(-4x^-3-20x^-5) dx
3:33
Integrate ∫(-(4/x^3)-(8/x^5)) dx
3:39
Integrate ∫((15/x^4)+(8/x^5)) dx
2:20
Integrate ∫-(14x^(5/2))/2 dx
Integrate ∫-(35x^(2/5))/5 dx
2:49
Integrate ∫-(5cbrt(x^2))/3 dx
Integrate ∫-(5•4th rt(x))/2 dx
0:58
Integrate ∫cos(x) dx
Integrate ∫-5sin(x) dx
1:39
Integrate ∫3sec^2(x) dx
2:07
Integrate ∫-3csc(x)•cot(x) dx
Integrate ∫2/sec(x) dx
Integrate ∫5/csc(x) dx
1:59
Integrate ∫-4tan(x) dx
1:53
Integrate ∫-cot(x) dx
16:10
Evaluating Limits | 12 Examples
31:32
Differentiation - Power, Constant, and Sum Rules | 18 Examples
22:44
Higher Order Derivatives | 10 Examples
48:59
Differentiation - Product Rule | 14 Examples
1:00:34
Differentiation - Quotient Rule | 12 Examples
30:44
Differentiation - Chain Rule | 12 Examples
14:22
Differentiation - Trigonometric Functions | 8 Examples
16:50
Differentiation - Inverse Trigonometric Functions | 8 Examples
21:14
Differentiation - Natural Logs and Exponentials | 10 Examples
32:25
Implicit Differentiation | 12 Examples
21:46
Integration Power Rule | 16 Examples
7:03
Integration - Trigonometric Functions | 8 Examples
1:36
Evaluate lim x-›-1^+ (4x+4)/|x+1|
1:48
Evaluate lim x-›-1^- f(x) where f(x)={-x-8 when x≤-1; -x^2-4x-4 when x›-1
Evaluate lim x-›-3 f(x) where f(x)={-x^2-10x-24 when x≤-3; 2x+3 when x›-3
Evaluate lim x-›-1 f(x) where f(x)={x when x‹-1; -x^2+2x when x≥-1
1:45
Evaluate lim x-›-1^- f(x) where f(x)={-x-3 when x≤-1; x+1 when x›-1
Evaluate lim x-›-2 f(x) where f(x)={-x^2-4x-5 when x≤-2; -1 when x›-2
2:08
Evaluate lim x-›0^+ f(x) where f(x)={1 when x≤0; -x^2+4x-3 when x›0
2:31
Evaluate lim x-›0^- |x|/x
3:51
Evaluate lim x-›0^+ floor(-2x+1)
Evaluate lim x-›1 f(x) where f(x)={x/2+9/2 when x‹1; x^2-6x+10 when x≥1
3:41
Evaluate lim x-›-1 3|x+1|/(x+1)
Evaluate lim x-›-2 f(x) where f(x)={x^2 when x≤-2; -x/2+3 when x›-2
Give an example of a two-sided limit of a piecewise function where the limit does not exist
Give an example of a two-sided limit of a function with an absolute value where the limit dne
26:48
Evaluating Limits | 14 Examples
Evaluate lim x-›2 f(x) where f(x)={-x^2+2 when x≠2; -5 when x=2
Evaluate lim x-›-2 -(x^2-4)/(x+2)
Evaluate lim x-›3 (x^2-7x+12)/(x-3)
Evaluate lim x-›-3 (x+3)/(x^2+2x-3)
1:40
Evaluate lim x-›0 f(x) where f(x)={x+1 when x≠0; 2 when x=0
1:49
Evaluate lim x-›3 f(x) where f(x)={2+x/2 when x≠3; 2 when x=3
Evaluate lim x-›1 -(x^2-1)/(x-1)
Evaluate lim x-›5 -(x^2-5x)/(x-5)
Evaluate lim x-›2 -(x^2-x-2)/(x-2)
1:44
Evaluate lim x-›-5 (x^2+3x-10)/(x+5)
2:59
Evaluate lim x-›0 ((1/(-4+x))+1/4)/x
Evaluate lim x-›-3 x/((1/(3+x))-1/3)
3:07
Evaluate lim x-›5 (x-5)/(√(x+4)-3)
2:54
Evaluate lim x-›3 (√(x+6)-3)/(x-3)
Give an example of a limit of a rational function where the limit at -1 exists, but the rational...
Give two values of a where the limit cannot be solved using direct evaluation. Give one value ...
