What is the derivative of 1.1e^{0.78t} ?

The derivative of 1.1e^{0.78t} is 0.858e^{0.78t}

What is the first derivative of 1.1e^{0.78t} ?

The first derivative of 1.1e^{0.78t} is 0.858e^{0.78t}

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derivative of

1.1 e^{0.78 t}

0.858 e^{0.78 t}

Solution steps

\frac{d}{d t} (1.1 e^{0.78 t})

Take the constant out:

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

= 1.1 \frac{d}{d t} (e^{0.78 t})

Apply the chain rule:

e^{0.78 t} \frac{d}{d t} (0.78 t)

= e^{0.78 t} \frac{d}{d t} (0.78 t)

\frac{d}{d t} (0.78 t) = 0.78

= 1.1 e^{0.78 t} \cdot 0.78

Simplify

= 0.858 e^{0.78 t}

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What is the derivative of 1.1e^{0.78t} ?
The derivative of 1.1e^{0.78t} is 0.858e^{0.78t}
What is the first derivative of 1.1e^{0.78t} ?
The first derivative of 1.1e^{0.78t} is 0.858e^{0.78t}