What is the derivative of e^{x^9} ?

The derivative of e^{x^9} is e^{x^9}*9x^8

What is the first derivative of e^{x^9} ?

The first derivative of e^{x^9} is e^{x^9}*9x^8

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\frac{d}{d x} (e^{x^{9}})

e^{x^{9}} \cdot 9 x^{8}

Solution steps

\frac{d}{d x} (e^{x^{9}})

Apply the chain rule:

e^{x^{9}} \frac{d}{d x} (x^{9})

= e^{x^{9}} \frac{d}{d x} (x^{9})

\frac{d}{d x} (x^{9}) = 9 x^{8}

= e^{x^{9}} \cdot 9 x^{8}

What is the derivative of e^{x^9} ?
The derivative of e^{x^9} is e^{x^9}*9x^8
What is the first derivative of e^{x^9} ?
The first derivative of e^{x^9} is e^{x^9}*9x^8