Derivative of (2x^3+1)^-5

Derivative of (2x^3+1)^-5. Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Derivative of (2x^3+1)^-5: 


((2*x^3+1)^-5)'

-5*(2*x^3+1)^(-5-1)*(2*x^3+1)'

-5*(2*x^3+1)^(-5-1)*((2*x^3)'+(1)')

-5*(2*x^3+1)^(-5-1)*(2*(x^3)'+(2)'*x^3+(1)')

-5*(2*x^3+1)^(-5-1)*(2*(x^3)'+0*x^3+(1)')

-5*(2*x^3+1)^(-5-1)*(2*3*x^(3-1)+0*x^3+(1)')

-5*(2*x^3+1)^(-5-1)*(2*3*x^2+0*x^3+(1)')

-5*(2*x^3+1)^(-5-1)*(6*x^2+0)

-5*(2*x^3+1)^(-5-1)*6*x^2

-30*x^2*(2*x^3+1)^-6

The calculation above is a derivative of the function f (x)

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