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}

\frac{d}{d x} (- 5 e^{- 2.5 x^{2}} x)

y^{^{'}} = \frac{x - 1}{y - 3}

\int \frac{x ln ( 1 + x ^{2} )}{1 + x ^{2}} d x

\int_{0}^{l n (2)} x e^{x} d x

\frac{\partial}{\partial x} (z \cdot cos (y \cdot x))

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