What is the derivative of f(x)=e^x-x^4 ?

The derivative of f(x)=e^x-x^4 is e^x-4x^3

What is the first derivative of f(x)=e^x-x^4 ?

The first derivative of f(x)=e^x-x^4 is e^x-4x^3

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derivative of

f (x) = e^{x} - x^{4}

e^{x} - 4 x^{3}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= e^{x} - 4 x^{3}

What is the derivative of f(x)=e^x-x^4 ?
The derivative of f(x)=e^x-x^4 is e^x-4x^3
What is the first derivative of f(x)=e^x-x^4 ?
The first derivative of f(x)=e^x-x^4 is e^x-4x^3