Consider the function on the interval (0, 2). Use a graphing utility to confirm your answers for parts (a) and (b). f(x) = 2. (a) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing + cos(x) (b) Apply the first derivative test to identify the relative extrema. (If an answer does not exist, enter DNE.) relative maximum (x, y) = 3 relative minimum (x, y) =

Q: Use.implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: The Chain Rule for second derivativesa. Derive a formula for the second derivative,b. Use the…

A:

Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function…

A: Solution is given below:-

Q: Find the equation of the tangent line to the graph of the given equation at the indicated point. Use…

A: To find:- xy2 + sin(πy) -2x2 = 10  To find:- Equation of tangent at point (2, -3) on given curve

Q: Find an equation of the tangent line to the curve y 4t at the point (3, 3). t+1

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Use implicit differentiation to calculate (cos-(sin x³)). dx 3x sin (x) A. V1-cos²(x³)

A: We have to calculate  ddxcos-1sin x3   It is known that ddxcos-1x=-11-x2

Q: Find the derivative of the function. = 1/2x√4-x² y'(x) = y = 4x2 + 4 arcsin

A:

Q: Directions: Find the derivatives of each of the following funct 1. f(x) = 5x-9 %3D 2. f(x) = 4x2 +…

A: To find The derivatives of each of the given function.

Q: a tan dx (8x) tan (8x

A:

Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

A: Solution is written in below steps.

Q: 2x 2 t 7 dt

A: Given