Question

guys differentiate this question....


$cos^{2}{x}^{3}$
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Answer 1

Heya!!

F(x) = Cos² x³

DIFFERENTIATE BOTH SIDES W.R.T x we have.

F'(x) = d ( Cos² x³ )dx

F'(x) = 2 × Cos x³ × - Sin x³ × 3x²

BY USING CHAIN RULE OF DIFFERENTIATION

F'(x) = -6x² Cos x³ × Sin x³

CHAIN RULE OF DIFFERENTIATION:-

FOR TWO COMPOSITE FUNCTIONS SAY y = F(g(x))

it's Differentiation is done by using chain rule of Differentiation I,e

dy/dx = F'(g(x)) × g'(x)