Problem 1 compute the derivative function fx

Question

Problem 1: Compute the derivative function f'(x) algebraically.

f(x) = x² + 5

Problem 2: Compute the derivative function f'(x) algebraically.

f(x) = x² - 4

Problem 3: Compute the derivative function f'(x) algebraically.

f(x) = 8x - 8

Problem 4: Compute the derivative function f'(x) algebraically.

f(x) = -7x + 7

Problem 5: Compute the derivative function f'(x) algebraically.

f(x) = -1/x

Problem 7: Compute f'(a) algebraically for the given value of a.

f(x) = -2x + 4; = -8

Problem 8: Compute f'(a) algebraically for the given value of a.

f(x) = 2x² + x; a = 9