Differentiate the function f(x)=(3x^2+x^3)/x

Find the following limit or show that it does not exist: limit as x approaches (4x+3)/(5x-1)

Find the vertical and horizontal asymptotes of y=(5+4x)/(x+3)

Find the intervals on which f(x)=2x^3-15x^2+24x-5 is increasing/decreasing, and find the local ...

Find two numbers whose difference is 100 and whose product is a minimum.

A cylindrical can is made to hold 1L of oil. Find the dimensions that will minimize the cost of...

Differentiate the function g(x)=x^(3/2)+x^(-3).

Differentiate the function f(x)=x^(75)-x+3.

Evaluate the integral from 1 to 9 of sqrt(x)dx.

Evaluate the integral from 1 to 5 of (3x^2+7x)dx.

Find the maximum vertical distance between the line y=x+2 and the parabola y=x^2 for x in [-1,2]

Let x^4+x^2y^2+y^3=5. Find dy/dx by implicit differentiation.

Find the derivative of f(x)=(2x^3-5x^2+4)^5

A cylindrical tank with radius 5m is being filled with water at a rate of 3m^3/min. How fast is ...

Let sqrt(x+y)=x^4+y^4. Find dy/dx by implicit differentiation.

Find the derivative of f(x)=sin^2(x)cos(3x+1)

Find the derivative of f(x)=x^(1/3)/(x-3)

Find the extreme values of f(x,y)=x^2+y^2+4x-4y on the region described by x^2+y^2 less than or = 9.

A man walks along a straight path at a speed of 4ft/s. A spotlight is located on the ground 20ft ...

Car A is traveling west at 50mi/h and car B is traveling north at 60mi/h. Both are headed for ...

A water tank has the shape of an inverted cone with base radius 2m and height 4m. If water is ...

A ladder 10ft long rests against a vertical wall. If the bottom of the ladder slides away from ...

Air is being pumped into a spherical balloon so that its volume increases at a rate of 100cm^3/s ...

Find where f is increasing and decreasing, has local max and min, concavity, and inflection points.

Limit as x approaches 0 of sin(5x)/3x

Find the derivative of f(x)=3sin(x)-2cos(x)

Find the derivative of f(x)=3x/(1+x)

Find the derivative of f(x)=sqrt(5x+1)

Find the derivative of f(x)=(5-x^4)^3

Find all numbers c that satisfy the conclusion of the Mean Value Theorem for f(x)=ln(x) on [1,3].

Find all numbers c that satisfy the conclusion of the Mean Value Theorem for f(x)=1/x on [1,4]

Find the derivative of f(x)=sin(x)/(1+cos(x))

Let f(x)+x^2[f(x)]^3=10 and f(1)=2. Find f'(1).

Find the derivative of g(x)=(4x+5)^3(x^2-2x+5)^4

A man starts walking north at 4ft/s from a point P. Five minutes later a woman starts walking ...

Find an equation of the tangent to the curve ysin(2x)=xcos(2y) at (pi/2, pi/4)

Find the derivative of f(x)=1/sqrt(1+x) using limits

Find the derivative of f(x)=1/(x^2-4) using limits

Find the domain of f(x)=1/(1-tan(x))

Find the domain of f(x)=sqrt(x-2)/((x+1)(x-5)).

Find the domain of f(x)=(x-3)/sqrt(2x-7).

Find the domain of f(x)=sqrt(x-5)/((x+1)(x-3)).

Find the domain of f(x)=6/sqrt(3+|x|).

Find the domain of f(x)=sqrt(4+5x)/sqrt(x-2).

Find the domain of f(x)=ln(5-x)/sqrt(x-2).

Find the domain of (x^2+3x+2)/(x^2+5x+4) and determine if there are holes or asymptotes.

Prove the quadratic formula.

Solve x^2-7x+12=0 either by factoring or using the quadratic formula.

Divide 2x^3+4x^2+6x+8 by x+2.

Divide 3x^4-6x^2-189 by x-3.

Divide x^6+2x^4+6x-9 by x^3+3.

Prove that the sqrt(2) is irrational.

If 2 divides m^2, then 2 divides m.

Divide 2x^2-5x-1 by x-3.

Divide x^2-3x-10 by x+2.

Divide x^2+5x+2 by x-6.

Divide x^2+9x+20 by x+4.

Find the domain of f(x)=sqrt(x+1)/sqrt(x^2-4).

Find the domain of f(x)=sqrt(x-4)/(x^2-64).

Find the domain of f(x)=(3x-4)/sqrt(x+9).