3. Techniques of Differentiation

Find the indicated derivative.

$f(x)=3x-4$

$f^{\prime}(x)=$

Find the indicated derivative.

$d/dt(-5t)$

Find the indicated derivative.

$d/dt(-5x)$

Find the indicated derivative.

$d/dx\left(\pi\right)$

Finding derivatives from a table Find the values of the following derivatives using the table. <IMAGE>

a. d/dx (f(x)+2g(x)) |x=3

Finding derivatives from a table Find the values of the following derivatives using the table. <IMAGE>

(g^-1)'(7)

Use the given graphs of f and g to find each derivative. <IMAGE>

d/dx (5f(x)+3g(x)) |x=1

Derivatives of even and odd functions Recall that f is even if f(−x) = f(x), for all x in the domain of f, and f is odd if f(−x) = −f(x) for all x in the domain of f.

b. If f is a differentiable, odd function on its domain, determine whether f' is even, odd, or neither.