What is the derivative of x^4-x-10 ?

The derivative of x^4-x-10 is 4x^3-1

What is the first derivative of x^4-x-10 ?

The first derivative of x^4-x-10 is 4x^3-1

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derivative of

x^{4} - x - 10

4 x^{3} - 1

Solution steps

\frac{d}{d x} (x^{4} - x - 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4}) - \frac{d x}{d x} - \frac{d}{d x} (10)

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

\frac{d x}{d x} = 1

\frac{d}{d x} (10) = 0

= 4 x^{3} - 1 - 0

Simplify

= 4 x^{3} - 1

x^{4} (x^{8} + 2)

2 x^{3} - 15 x^{2} + 36 x + 6

x^{6} + 3 x^{2} - 9

\frac{1}{x ^{2} + b}

(\frac{u}{v})^{2}

What is the derivative of x^4-x-10 ?
The derivative of x^4-x-10 is 4x^3-1
What is the first derivative of x^4-x-10 ?
The first derivative of x^4-x-10 is 4x^3-1