Saturday 24 May 2014

Derivative Of E^x

Given f(x) =
e^3x

We need to find the first derivative f'(x) using the chain
rule.

We will assume that u= 3x ==> u' = 3

==> f(x)
= e^u

==> Now we will differentiate:

==> f(x) =
(e^u)' = u' * e^u du

==> Now we will substitute with x.


==> f(x) =3 ** e^3x = 3*e^3x

Thenthe derivative of
f(x) is f'(x) = 3*e^3x

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