What is the derivative of f(x)=e^x-6x^5 ?

The derivative of f(x)=e^x-6x^5 is e^x-30x^4

What is the first derivative of f(x)=e^x-6x^5 ?

The first derivative of f(x)=e^x-6x^5 is e^x-30x^4

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derivative of

f (x) = e^{x} - 6 x^{5}

e^{x} - 30 x^{4}

Solution steps

\frac{d}{d x} (e^{x} - 6 x^{5})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x}) - \frac{d}{d x} (6 x^{5})

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

\frac{d}{d x} (6 x^{5}) = 30 x^{4}

= e^{x} - 30 x^{4}

What is the derivative of f(x)=e^x-6x^5 ?
The derivative of f(x)=e^x-6x^5 is e^x-30x^4
What is the first derivative of f(x)=e^x-6x^5 ?
The first derivative of f(x)=e^x-6x^5 is e^x-30x^4