What is the derivative of y=8e^{17t} ?

The derivative of y=8e^{17t} is 136e^{17t}

What is the first derivative of y=8e^{17t} ?

The first derivative of y=8e^{17t} is 136e^{17t}

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derivative of

y = 8 e^{17 t}

136 e^{17 t}

Solution steps

\frac{d}{d t} (8 e^{17 t})

Take the constant out:

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

= 8 \frac{d}{d t} (e^{17 t})

Apply the chain rule:

e^{17 t} \frac{d}{d t} (17 t)

= e^{17 t} \frac{d}{d t} (17 t)

\frac{d}{d t} (17 t) = 17

= 8 e^{17 t} \cdot 17

Simplify

= 136 e^{17 t}

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What is the derivative of y=8e^{17t} ?
The derivative of y=8e^{17t} is 136e^{17t}
What is the first derivative of y=8e^{17t} ?
The first derivative of y=8e^{17t} is 136e^{17t}