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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{d}{d y} (e^{x} cos (y))

\frac{\partial}{\partial x} (\frac{26}{( 2 + x ^{2} + y ^{2} )})

\int e^{x} \cdot 7 x d x

(u^{2} + u) d x + u^{2} (x d u + u d x) = 0

x \to 4 lim (e^{x} + 4 x)

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