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

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

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Answer 1 · 2015-08-26T16:16:42

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)#

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

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