Question

Differentiate y= (1-x^2) (1+4x)^3 with respect to x.

Answer 1

using product rule,
(1-x^2)*3*(1+4x)^2*4 +(1+4x)^3*(-2x)

Answer 2

I learn the differentiate first term keep seceond term then keep first term differentiate second term method

Answer 3

\(y'=(1-x^2)(3(4)(1+4x)^2)+(1+4x)^3(-2x)\)
\(=12(1-x^2)(1+4x)^2-2x(1+4x)^3=(1+4x)^2(12-12x^2-2x-8x^2)\)
\(=(1+4x)^2(-20x^2-2x+12)\).

Answer 4

Anwara what is the final answer?

Answer 5

Well, you can take this as a final answer, I mean the last line. You can also factorize the second parenthesis by taking \(2\) as a common factor.

Answer 6

okay thanks

Answer 7

anwar you are awesomE =d

Answer 8

I know, but thanks :D