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

1 Answer
Nallasivam V
Aug 14, 2015

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

Explanation:

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)#

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