What is the Derivative of 2^x?

The Mathematician — Sat, 26 Nov 2022 13:00:18 +0000

The derivative of

2^x

2^x\ln(2)

.

Solution. Let

f(x) = 2^x

. We have seen here that:

\begin{align*} \frac{d}{dx} a^x = a^x \ln(a). \end{align*}

Now, in our case, we have that

a = 2

. So substituting that in above, we get:

\begin{align*} f'(x) = 2^x \ln(2). \end{align*}

Therefore, the derivative of

2^x

2^x\ln(2)

2^x Archives - Epsilonify