What is the derivative of f(x)=5x^4-5x^2+7 ?

The derivative of f(x)=5x^4-5x^2+7 is 20x^3-10x

What is the first derivative of f(x)=5x^4-5x^2+7 ?

The first derivative of f(x)=5x^4-5x^2+7 is 20x^3-10x

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derivative of

f (x) = 5 x^{4} - 5 x^{2} + 7

20 x^{3} - 10 x

Solution steps

\frac{d}{d x} (5 x^{4} - 5 x^{2} + 7)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{4}) - \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (7)

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

\frac{d}{d x} (5 x^{2}) = 10 x

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

= 20 x^{3} - 10 x + 0

Simplify

= 20 x^{3} - 10 x

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What is the derivative of f(x)=5x^4-5x^2+7 ?
The derivative of f(x)=5x^4-5x^2+7 is 20x^3-10x
What is the first derivative of f(x)=5x^4-5x^2+7 ?
The first derivative of f(x)=5x^4-5x^2+7 is 20x^3-10x