Math, asked by nahendramadineni, 1 year ago

Differentiate e^x from first principle

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Answered by Anonymous
0

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

= e^x

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


nahendramadineni: Coppied from quora. Com
Answered by brainlystargirl
1

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