Question

Help: y= (x^3 + 2x -4)^3 (4x-1)^5 Product rule?

Answer 1

product rule + chain rule

Answer 2

\[(fg)'=f'g+g'f\]
\[f(x)=(x^3+2x-4)^3\]
\[f'(x)=4(x^3+2x-4)^3(3x^2+2)\]
\[g(x)=(4x-1)^5\]
\[g'(x)=5(4x-1)^4\times 4\]
i will let you put it together yourself

Answer 3

sorry i made a mistake

Answer 4

\[f(x)=(x^3+2x-4)^3\]
\[f'(x)=3(x^2+2x-4)^2(3x^2+2)\]

Answer 5

rest is correct though

Answer 6

How do u know he wants to diff it?