Question

dy/dx
Find , if y = √tan^3x
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Answer 1

Step-by-step explanation:

first differentiate the root

since √x = 1/2√x

so √tan^3x = 1/2√tan^3x

then again differentiate tan^3x which is equal to 3tan^2x

then again differentiate tanx equal to sec^2x

so differentiation of function y is equal to

dy/dx =3 tanx sec^2x/2√tan^3x