Exam 3: Differentiation Rules

Find the derivative of the function.

Use the linear approximation of the function to approximate the number

Select the correct Answer for each question. -Differentiate:

Find an equation of the tangent line to the curve.

Find the second derivative of the function.

Com and for the given values of and

Find the second derivative of the function.

Use logarithmic differentiation to find the derivative of the function.

Find the derivative of the function.Select the correct Answer

by implicit differentiation.

Find the differential of the function at the indicated number.

Evaluate the integral.

The position function of a particle is given by When does the particle reach a velocity of

Find the derivative of the function.Select the correct Answer

The parents of a child wish to establish a trust fund for the child's college education.If they need an estimated $80,000 5 years from now and they are able to invest the mo pounded continuously in the interim, how much should they set aside in trust now?

Find

Select the correct Answer: for each question. -Use logarithmic differentiation to find the derivative of the function.

Use implicit differentiation to find .

Find in terms of Select the correct Answer

in terms of and