1. For the function f (x) = 2x² + 8 use the limit definition
(four-step process) to find f′(x) . Students must show all steps
(more or less four of them) to compute the derivative. Simply
giving the derivative of the function will not receive much
credit.
2. For the function f (x) = x² + 2x
a. Find f′(x) . Students may use derivative rules to find this
derivative. Show all work and clearly label the answer below.
b....
1:
Given that f(4) = 6 and f'(x) = 2/x2+9 for all x.
a) Use a linear approximation or differentials to estimate
f(4.04)
b) Is your estimate in part (a) too large or too small?
Explain.
2:
a) Given f(x) = (x + 3)sinx, find f'(π) using
logarithmic differentiation.
b) Find the value of h'(0) if h(x)+xsin(h(x))=
x2+4x-π/2