Question

If y= e^(3ln(x^2)) find y'

Answer 1

the answer is 6x^5 but i don't know how.

Answer 2

simplify first
\[e^{3 \ln(x^2)} = (e^{\ln(x^2)})^3 = (x^2)^3 = x^6\]

Answer 3

ohh. so then you find the derivative of x^6 which is 6x^5.
thank you.

Answer 4

no problem