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

The derivative of f(x)=e^x-x^7 is e^x-7x^6

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

The first derivative of f(x)=e^x-x^7 is e^x-7x^6

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derivative of

f (x) = e^{x} - x^{7}

e^{x} - 7 x^{6}

Solution steps

\frac{d}{d x} (e^{x} - x^{7})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x}) - \frac{d}{d x} (x^{7})

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

\frac{d}{d x} (x^{7}) = 7 x^{6}

= e^{x} - 7 x^{6}

What is the derivative of f(x)=e^x-x^7 ?
The derivative of f(x)=e^x-x^7 is e^x-7x^6
What is the first derivative of f(x)=e^x-x^7 ?
The first derivative of f(x)=e^x-x^7 is e^x-7x^6