What is the derivative of #y = cos(a^3 + x^3)#?

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Answer 1 · 2018-07-27T20:25:14

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

Given function

#y=\cos(a^3+x^3)#

differentiating above function w.r.t. #x# using chain rule

#dy/dx=d/dx(\cos(a^3+x^3))#

#=-\sin(a^3+x^3)d/dx(a^3+x^3)#

#=-\sin(a^3+x^3)(3x^2)#

#=-3x^2\sin(a^3+x^3)#