Problem :
f (x) = 2x
. Find
f'(x)
f'(x) | = | ||
= | |||
= | |||
= 2 | |||
= 2 |
Problem :
f (x) = - x
^{2}
. What is the
f'(x)
?
f'(x) | = | ||
= | |||
= | |||
= - (2x + h) | |||
= - 2x |
Problem :
Find the slope of the line perpendicular to the tangent of the graph of
f (x) = - x
^{2}
at
x = 1.
Problem :
Find
f'(1)
for
f (x) = - x
^{2}
without solving for
f'(x)
first.
f'(1) | = | ||
= | |||
= | |||
= | |||
= - (2 + h) | |||
= - 2 |
Problem :
Give an example of a function that is not differentiable at
x = a.