1. ## derivative help

how do I use the chain rule to find the derivative of 2^(x^2)?

help!

2. Originally Posted by amma0913
how do I use the chain rule to find the derivative of 2^(x^2)?

help!

$f(x)=2^{x^2} = e^{x^2 \cdot \ln(2)}$

2. Now differentiate the exponential function.

$f'(x)= e^{x^2 \cdot \ln(2)} \cdot 2x \cdot \ln(2)$

3. Simplify.