Question

A. Find dy/DC if,
y=(x^2+2x)^4 (x^3+3x+9)^3​

Answer 1

Answer:

Here, u(x)=x2+2x, v(x)=3x−4.

Using quotient rule, we get

dydx=(3x−4)d(x2+2x)dx−(x2+2x)d(3x−4)dx(3x−4)2

=(3x−4)(2x+2)−(x2+2x)3(3x−4)2

=3x2−8x−8(3x−4)2

Explanation: