287 Answered Questions for the topic Derivatives

04/12/14

#### Applications of Sinusoidal Functions and Their Derivatives

A differential equation is an equation involving a function and one or more of its derivatives. Determine whether the function y=πsinθ+2πcosθ is a solution to the differential equation d^2y/dθ^2 +...
more

#### Optimization Problems

A piece of plexiglass is in the shape of a semicircle with radius 2 m. Determine the dimensions of the rectangle with the greatest area that can be cut from the piece of plexiglass.

Derivatives

03/18/14

#### Derivative of a Polynomial Function

Air is being pumped into a spherical balloon. The volume, V, in cubic centimetres, of the balloon is V=4/3πr^3, where the radius, r, is in centimetres.
a) Determine the instantaneous rate of...
more

Derivatives Derivative Proof

03/18/14

#### Derivative of a Polynomial Function

Show that there is no polynomial function that has a derivative of x^-1.

Derivatives Tangents And Derivatives

03/18/14

#### Derivative of a Polynomial Function

Determine equations for the tangents to the cubic function y=2x^3 -3x^2 -11x +8 at the point where y=2.

Derivatives

03/18/14

#### Derivative of a Polynomial Function

Determine equations for two lines that pass through the point (1,-5) and are tangent to the graph of y=x^2-2.

Derivatives

11/30/13

#### f'(x) = 2(2/3)x-1/3 - (5/3)x2/3 = (4/3)x-1/3 - (5/3)x2/3 f"(x) = (4/3)(-1/3)x-4/3 - (5/3)(2/3)x-1/3 = (-4/9)x-4

how would I set the 1st and 2nd derivatives to zero and solve for x ?

Derivatives

11/29/13

#### f(x)=x^2/3 (2-x) = x^2/3 (2-x)

find 1st and 2nd derivative for
x to the 2/3 * (2-x) = x to the 2/3 * (2-x)
sorry I didn't clarify

10/28/13

#### inverse derivative: y=sec^-1 1/t

please answer, i dont understand how to go about this problem.

Derivatives Calculus

10/16/13

#### Urgent! Please help me! I have an exam in two days and I really need help with these questions. Please explain the steps and answers as thoroughly as possible.

1. Find the derivative f'(x).
(a) f(x)=xexcosx
(b) f(x)=secxtanx
(c) f(x)=sinx/1+cosx
2. Let g(x) be a differentiable function such that g(0)=2 and g'(0)=3.
(a) f(x)=(g(x))3
(b)...
more

## Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.

Most questions answered within 4 hours.

#### OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.