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

The derivative of f(x)=x^4+5x is 4x^3+5

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

The first derivative of f(x)=x^4+5x is 4x^3+5

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derivative of

f (x) = x^{4} + 5 x

4 x^{3} + 5

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (5 x) = 5

= 4 x^{3} + 5

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What is the derivative of f(x)=x^4+5x ?
The derivative of f(x)=x^4+5x is 4x^3+5
What is the first derivative of f(x)=x^4+5x ?
The first derivative of f(x)=x^4+5x is 4x^3+5