Concept Review for M TEST

How do you find the inverse of a function?

• Switch x&y, solve for y

• Take the derivative

• Use implicit differentiation

• Use Chain rule

How do you find the derivative of the inverse

• switch x&y, then use implicit differentiation and solve for dy/dx

• switch x&y, then solve for y

• Use product rule

• Use quotient rule

Check ALL that apply. Which of the following require chain rule to differentiate?

•  $\cos\left(x^2\right)$  

•  $\ln\left(2x\right)$  

•  $e^{\tan\left(2x\right)}$  

•  $\cos\left(x\right)$  

When taking the derivative of the following what is the derivative of the "inside"

 $\cos\left(4x\right)$  

•  $4$  

•  $\sin x$  

•  $\sin\left(4x\right)$  

•  $4x$  

The slope of a tangent line at a point is an application of the derivative.

• True

• False

The slope of the secant line is an application of the derivative.

• True

• False

Instantaneous rate of change is an application of the derivative.

• True

• False

Average rate of change is an application of the derivative.

• True

• False

Instantaneous velocity is an application of the derivative.

• True

• False

Average Velocity is an application of the NON-derivative.

• True

• False