What is the derivative of f(x)=-5x^3-7x^2+8x-7 ?

The derivative of f(x)=-5x^3-7x^2+8x-7 is -15x^2-14x+8

What is the first derivative of f(x)=-5x^3-7x^2+8x-7 ?

The first derivative of f(x)=-5x^3-7x^2+8x-7 is -15x^2-14x+8

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derivative of

f (x) = - 5 x^{3} - 7 x^{2} + 8 x - 7

- 15 x^{2} - 14 x + 8

Solution steps

\frac{d}{d x} (- 5 x^{3} - 7 x^{2} + 8 x - 7)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (5 x^{3}) - \frac{d}{d x} (7 x^{2}) + \frac{d}{d x} (8 x) - \frac{d}{d x} (7)

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

\frac{d}{d x} (7 x^{2}) = 14 x

\frac{d}{d x} (8 x) = 8

\frac{d}{d x} (7) = 0

= - 15 x^{2} - 14 x + 8 - 0

Simplify

= - 15 x^{2} - 14 x + 8

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What is the derivative of f(x)=-5x^3-7x^2+8x-7 ?
The derivative of f(x)=-5x^3-7x^2+8x-7 is -15x^2-14x+8
What is the first derivative of f(x)=-5x^3-7x^2+8x-7 ?
The first derivative of f(x)=-5x^3-7x^2+8x-7 is -15x^2-14x+8