A What is the derivative of fx fx a Find the derivative of

A. What is the derivative of f(x)? f\'(x) = a. Find the derivative of f at x. That is. find f\'(x). b. Find the slope of the tangent line to the graph of f at each of the two values of x given to the right of the function. f(x) = x^3 + 13; x= -2, x = 2 a. f\'(x) = (Simplify your answer. Use integers or fractions for any numbers in the expression.) a. Find the derivative of f at x. That is. find f\'(x). b. Find the slope of the tangent line to the graph of f at each of the two values of x given to the right of the function. f(x) = Squareroot x; x = 36, x = 64 a. f\'(x) =

Solution

f(x)=x^3 +12

a. f\'(x)=3 *x^2 =6x^2

b. slope , f\'(x) at x=-2

f\'(-2)=3*(-2)^2=12

at x=2

f\'(2)=3*2^2=12