What is (\partial)/(\partial x)(60e^{-0.07x}) ?

The answer to (\partial)/(\partial x)(60e^{-0.07x}) is -4.2e^{-0.07x}

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(\partial)/(\partial x)(60e^{-0.07x})

\frac{\partial}{\partial x} (60 e^{- 0.07 x})

- 4.2 e^{- 0.07 x}

Solution steps

\frac{\partial}{\partial x} (60 e^{- 0.07 x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 60 \frac{\partial}{\partial x} (e^{- 0.07 x})

Apply the chain rule:

e^{- 0.07 x} \frac{\partial}{\partial x} (- 0.07 x)

= e^{- 0.07 x} \frac{\partial}{\partial x} (- 0.07 x)

\frac{\partial}{\partial x} (- 0.07 x) = - 0.07

= 60 e^{- 0.07 x} (- 0.07)

Simplify

= - 4.2 e^{- 0.07 x}

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What is (\partial)/(\partial x)(60e^{-0.07x}) ?
The answer to (\partial)/(\partial x)(60e^{-0.07x}) is -4.2e^{-0.07x}