What is the derivative of f(x)=1.58e^{-0.213x} ?

The derivative of f(x)=1.58e^{-0.213x} is -0.33654e^{-0.213x}

What is the first derivative of f(x)=1.58e^{-0.213x} ?

The first derivative of f(x)=1.58e^{-0.213x} is -0.33654e^{-0.213x}

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derivative of

f (x) = 1.58 e^{- 0.213 x}

- 0.33654 e^{- 0.213 x}

Solution steps

\frac{d}{d x} (1.58 e^{- 0.213 x})

Take the constant out:

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

= 1.58 \frac{d}{d x} (e^{- 0.213 x})

Apply the chain rule:

e^{- 0.213 x} \frac{d}{d x} (- 0.213 x)

= e^{- 0.213 x} \frac{d}{d x} (- 0.213 x)

\frac{d}{d x} (- 0.213 x) = - 0.213

= 1.58 e^{- 0.213 x} (- 0.213)

Simplify

= - 0.33654 e^{- 0.213 x}

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What is the derivative of f(x)=1.58e^{-0.213x} ?
The derivative of f(x)=1.58e^{-0.213x} is -0.33654e^{-0.213x}
What is the first derivative of f(x)=1.58e^{-0.213x} ?
The first derivative of f(x)=1.58e^{-0.213x} is -0.33654e^{-0.213x}