What is (\partial)/(\partial x)(e^{-9x}) ?

The answer to (\partial)/(\partial x)(e^{-9x}) is -9e^{-9x}

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(\partial)/(\partial x)(e^{-9x})

\frac{\partial}{\partial x} (e^{- 9 x})

- 9 e^{- 9 x}

Solution steps

\frac{\partial}{\partial x} (e^{- 9 x})

Apply the chain rule:

e^{- 9 x} \frac{\partial}{\partial x} (- 9 x)

= e^{- 9 x} \frac{\partial}{\partial x} (- 9 x)

\frac{\partial}{\partial x} (- 9 x) = - 9

= e^{- 9 x} (- 9)

Simplify

= - 9 e^{- 9 x}

\frac{d}{d x} (- 10)

\frac{d y}{d x} = y^{2} + 9

y^{^{''}} + 9 y = sin (3 x)

(x, y) \to (5, - 2) lim (x^{5} + 4 x^{3} y - 5 x y^{2})

\int \frac{a x}{x ^{2} - p x} d x

What is (\partial)/(\partial x)(e^{-9x}) ?
The answer to (\partial)/(\partial x)(e^{-9x}) is -9e^{-9x}