Question

compute derivatives:

a) xe^sin(x)
b) tan^3(x^2)

thank you!!

Answer 1

the first one is x * e^sin(x)

Answer 2

x e^sins(x) + e^sin(x) = e^sin(x) (x+1)\[x e^{\sin(x)} + e^{\sin(x)} = e^{\sin(x)}(x+1)\]

Answer 3

ty!

Answer 4

\[\tan^3 (x^2) = 3(2x)\tan^2 (x^2) \sec^2 (x^2)\]

Answer 5

that one was hard to keep track of :) might be wrong due to my inherent stupidity ;)