What is the derivative of x^4-5x ?

The derivative of x^4-5x is 4x^3-5

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

The first derivative of x^4-5x is 4x^3-5

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\frac{d}{d 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

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