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

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

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

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

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derivative of

e^{x} - x^{5}

e^{x} - 5 x^{4}

Solution steps

\frac{d}{d x} (e^{x} - x^{5})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x}) - \frac{d}{d x} (x^{5})

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

\frac{d}{d x} (x^{5}) = 5 x^{4}

= e^{x} - 5 x^{4}

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