What is the derivative of y=30e^{-0.0000323x} ?

The derivative of y=30e^{-0.0000323x} is -0.000969e^{-0.0000323x}

What is the first derivative of y=30e^{-0.0000323x} ?

The first derivative of y=30e^{-0.0000323x} is -0.000969e^{-0.0000323x}

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derivative of

y = 30 e^{- 0.0000323 x}

- 0.000969 e^{- 0.0000323 x}

Solution steps

\frac{d}{d x} (30 e^{- 0.0000323 x})

Take the constant out:

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

= 30 \frac{d}{d x} (e^{- 0.0000323 x})

Apply the chain rule:

e^{- 0.0000323 x} \frac{d}{d x} (- 0.0000323 x)

= e^{- 0.0000323 x} \frac{d}{d x} (- 0.0000323 x)

\frac{d}{d x} (- 0.0000323 x) = - 0.0000323

= 30 e^{- 0.0000323 x} (- 0.0000323)

Simplify

= - 0.000969 e^{- 0.0000323 x}

\frac{1}{8} x, 8 x, \frac{2}{x}

\int_{2}^{8} \frac{5}{4 - 3 x} d x

\int (1 - x^{2}) d x

(x^{2} + y) d x - (x) d y = 0

x \to 1 lim (\frac{3 x ^{2} + 5 x - 8}{x ^{2} - 1})

What is the derivative of y=30e^{-0.0000323x} ?
The derivative of y=30e^{-0.0000323x} is -0.000969e^{-0.0000323x}
What is the first derivative of y=30e^{-0.0000323x} ?
The first derivative of y=30e^{-0.0000323x} is -0.000969e^{-0.0000323x}