: (15 points) Find the first derivative of each function. a) f(x) = ln(e* + e¬*) %3D

Q: find anti derivative.

A:

Q: Find the nth order derivative of the function y=sin2x.

A:

Q: Find the derivative. d (Wx+Vx) =] dx

A: Differentiate wrt x

Q: Find the derivative of the function. f(x) = ln 2x/(x + 3)

A:

Q: Differentiate the function. g(x) coth-! (2x + 1) Give your answer in exact form. g'(x) =

A:

Q: Directions: Find the derivative of the following functions: 1. y = log,(x + 5)5 5. y = In x4 %3D 2.…

A:

Q: Find the derivative of y = cos-(8x'). (Use symbolic notation and fractions where needed.) y = | help…

A: Given:          y=cos-1(8x9)

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: