How do you find the derivative of $y = cos(a^3 + x^3)$ using the chain rule?

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Answer 1 · 2016-01-22T08:33:21

$dy/dx = -3x^2 sin(a^3 + x^3 )$

using 'chain rule'

$dy/dx = - sin(a^3 + x^3) .d/dx (a^3 + x^3 )$

$= - sin( a^3 + x^3 ). (3x^2 )$

$rArr dy/dx = - 3x^2 sin(a^3 +x^3 )$

How do you find the derivative of y = cos(a^3 + x^3)y = cos(a^3 + x^3) using the chain rule?