What is the first derivative of 6e^r ?

The first derivative of 6e^r is 6e^r

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derivative of 6e^r

derivative of

6 e^{r}

6 e^{r}

Solution steps

\frac{d}{d r} (6 e^{r})

Take the constant out:

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

= 6 \frac{d}{d r} (e^{r})

Apply the common derivative:

\frac{d}{d r} (e^{r}) = e^{r}

= 6 e^{r}