How do you find the derivative of Y= ( x^3 + 5x^2 - 3 )( x^2 - 1 )^5?

1 Answer
Aug 26, 2015

Refer explanation section

Explanation:

Y=(x^3+5x^2−3)(x^2−1)^5
dy/dx= (x^3+5x^2−3)(5)(x^2 - 1)^4(2x)+(x^2−1)^5(3x^2 + 10x)
dy/dx= (x^3+5x^2−3)(10x)(x^2 - 1)^4+(x^2−1)^5(3x^2 + 10x)
dy/dx= (10x^4+50x^3−30x)(x^2 - 1)^4+(x^2−1)^5(3x^2 + 10x)