What is the derivative of 0.1e^{0.5061(t)} ?

The derivative of 0.1e^{0.5061(t)} is 0.05061e^{0.5061t}

What is the first derivative of 0.1e^{0.5061(t)} ?

The first derivative of 0.1e^{0.5061(t)} is 0.05061e^{0.5061t}

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derivative of

0.1 e^{0.5061 (t)}

0.05061 e^{0.5061 t}

Solution steps

\frac{d}{d t} (0.1 e^{0.5061 t})

Take the constant out:

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

= 0.1 \frac{d}{d t} (e^{0.5061 t})

Apply the chain rule:

e^{0.5061 t} \frac{d}{d t} (0.5061 t)

= e^{0.5061 t} \frac{d}{d t} (0.5061 t)

\frac{d}{d t} (0.5061 t) = 0.5061

= 0.1 e^{0.5061 t} \cdot 0.5061

Simplify

= 0.05061 e^{0.5061 t}

What is the derivative of 0.1e^{0.5061(t)} ?
The derivative of 0.1e^{0.5061(t)} is 0.05061e^{0.5061t}
What is the first derivative of 0.1e^{0.5061(t)} ?
The first derivative of 0.1e^{0.5061(t)} is 0.05061e^{0.5061t}