Question

find derivative. cos(a^3+x^3)
i need help with the steps.

Answer 1

w r t what ?

Answer 2

What you have here is a composite function. So the first thing is to figure out what f(x) and g(x) are.. f(x) is the outer function so in this case it is cos(x). And g(x) is the inner function which is a^3 + x^3.. You have to use the chain rule in order to find the derivative. The chain rule is \[f \prime (gx) * g \prime(x)\] So to find the derivative you do \[-\sin (a^3 + x^3) * (o + 3x^2)\] a is a constant so the derivative of a constant is 0. Simplify and you get \[-3x^2\sin(a^3 + x^3)\] I am just learning derivatives myself but i believe this is how you do it.

Answer 3

if we were taking derivative w.rt to x then above post is correct

Answer 4

thanks dude. yeah its right