What is the derivative of $y= e^(3x/4)$ ?

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Answer 1 · 2015-08-14T06:17:07

The answer is -
$dy/dx$ = $3/4$ . $e^(3x/4)$

Understand
$e^((some expression))$ is to be differentiated as

(Differentiation of some expression). $e^((some expression))$

Apply this to the problem

Here expression is $3x/4$
It can be written as $(3x)/4$
Again it can be written as $3/4x$

Differentiation of $3/4x$ is $3/4$

Hence $dy/dx$ = $3/4$ . $e^(3x/4)$

What is the derivative of y= e^(3x/4)y= e^(3x/4)?