In Exercises 5–7 , decide if the function is differentiable at x = 0. Try zooming in on a graphing calculator, or calculating the derivative f ' ( 0 ) from the definition. f ( x ) = { − 2 x for x < 0 x 2 for x ≥ 0
In Exercises 5–7 , decide if the function is differentiable at x = 0. Try zooming in on a graphing calculator, or calculating the derivative f ' ( 0 ) from the definition. f ( x ) = { − 2 x for x < 0 x 2 for x ≥ 0
In Exercises 5–7, decide if the function is differentiable at x = 0. Try zooming in on a graphing calculator, or calculating the derivative
f
'
(
0
)
from the definition.
f
(
x
)
=
{
−
2
x
for
x
<
0
x
2
for
x
≥
0
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
In Exercises 1–34, find the derivative of the function f by using the rules of differentiation.
In Exercises 13–18, calculate the derivative in two ways. First use the
Product or Quotient Rule; then rewrite the function algebraically and
directly calculate the derivative.
In Exercises 13–24, compute the derivative using derivative rules that have
been introduced so far.
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