Question

Using the product rule of differentiation , evaluate the derivative of

g(x) = (2x3-5x)(7x+9)

Answer 1

g’(x)=d/dx((2x^3-5x)(7x+9))
g’(x)=d/dx(14x^4+18x^3-35x^2-45x)
g’(x)= d/dx(14x^4)+d/dx(18x^3)+d/dx(-35x^2)+d/dx(-45x)
g’(x)=14(4x^3)+18(3x^2-35)2x-45
g’(x)= 56x^3+54x^2-70x-45 (answer)

Answer 2

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