What is the derivative of e^{5x^5} ?

The derivative of e^{5x^5} is e^{5x^5}*25x^4

What is the first derivative of e^{5x^5} ?

The first derivative of e^{5x^5} is e^{5x^5}*25x^4

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

e^{5 x^{5}} \cdot 25 x^{4}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 x^{5}) = 25 x^{4}

= e^{5 x^{5}} \cdot 25 x^{4}

What is the derivative of e^{5x^5} ?
The derivative of e^{5x^5} is e^{5x^5}*25x^4
What is the first derivative of e^{5x^5} ?
The first derivative of e^{5x^5} is e^{5x^5}*25x^4