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

Question

13293 views around the world

You can reuse this answer
Creative Commons License

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

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

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

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

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

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