Question

find the derivative of f(X) = 99x at X = 100​

Answer 1

Answer:

Let f(x)=99x

Thus f

′

(100)=

h→0

lim

h

f(100+h)−f(100)

=

h→0

lim

h

99(100+h)−99(100)

=

h→0

lim

h

99×100+99h−99×100

=

h→0

lim

h

99h

=99