Question

find the first principle derivatives of f x = e^x​

Answer 1

Answer:

is this understandable

Step-by-step explanation:

f(x) = e^x,so, f(x+h) = e^(x+h) , hence , differentiating by first principle we can write,

f'(x) = Lt h=>0 { f(x+h) - f(x)}/h.

=> Lt h=>0 { e^(x+h) - e^x}/h.

=> e^x[ Lt h=>0 {e^h - 1}/h]

= e^x *1.

** As we know Lt h=> 0 {e^h - 1}/h = 1.