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

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

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

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

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derivative of

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

e^{x} - 8 x^{7}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (e^{x}) = e^{x}

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

= e^{x} - 8 x^{7}

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