What is the derivative of f(x)=x^8-46 ?

The derivative of f(x)=x^8-46 is 8x^7

What is the first derivative of f(x)=x^8-46 ?

The first derivative of f(x)=x^8-46 is 8x^7

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derivative of

f (x) = x^{8} - 46

8 x^{7}

Solution steps

\frac{d}{d x} (x^{8} - 46)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{8}) - \frac{d}{d x} (46)

\frac{d}{d x} (x^{8}) = 8 x^{7}

\frac{d}{d x} (46) = 0

= 8 x^{7} - 0

Simplify

= 8 x^{7}

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What is the derivative of f(x)=x^8-46 ?
The derivative of f(x)=x^8-46 is 8x^7
What is the first derivative of f(x)=x^8-46 ?
The first derivative of f(x)=x^8-46 is 8x^7