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How do you find the derivative of #(2x^2 -5)^3(x^3 +6x)^(4/3)#?

1 Answer

May 24, 2018

#4(x^3+6x)^(1/3)(2x^2-5)^2(5x^4+15x^2-10)#

Explanation:

By the product and the chain rule we get
#3(2x^2-5)^2*4x(x^3+6x)^(4/3)+(2x^2-5)^3*4/3(x^3+6x)^(1/3)(3x^2+6)# which simplifies to my answer

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