Limits and Derivatives — MATHS STD 11 Science — Question

4. 2xe^x2

^Solution:

We apply chain rule.

First we differentiate x².

$ \frac{\text{d}}{\text{dx}} (\text{x}2 ) = 2\text{x}$ Now, we know that $\frac{\text{d}}{\text{dx}}$(ex ) = ex

We differentiate ex2 in the same manner and then,

multiply with the derivative of $ \frac{{\text{x}}^2 \text{d}}{\text{dx} (\text{e}^{\text{x}2})} = \text{2xe}^{\text{x}2}.$