What is the derivative of-5x^4+4x^3-20x-20 ?

The derivative of-5x^4+4x^3-20x-20 is -20x^3+12x^2-20

What is the first derivative of-5x^4+4x^3-20x-20 ?

The first derivative of-5x^4+4x^3-20x-20 is -20x^3+12x^2-20

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\frac{d}{d x} (- 5 x^{4} + 4 x^{3} - 20 x - 20)

- 20 x^{3} + 12 x^{2} - 20

Solution steps

\frac{d}{d x} (- 5 x^{4} + 4 x^{3} - 20 x - 20)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (5 x^{4}) + \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (20 x) - \frac{d}{d x} (20)

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (20 x) = 20

\frac{d}{d x} (20) = 0

= - 20 x^{3} + 12 x^{2} - 20 - 0

Simplify

= - 20 x^{3} + 12 x^{2} - 20

What is the derivative of-5x^4+4x^3-20x-20 ?
The derivative of-5x^4+4x^3-20x-20 is -20x^3+12x^2-20
What is the first derivative of-5x^4+4x^3-20x-20 ?
The first derivative of-5x^4+4x^3-20x-20 is -20x^3+12x^2-20