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 $\frac{\text{d}}{\text{dx}} (\text{e}^x) = \text{e}^\text{x}$

We differentiate e^x2 in the same manner and then multiply with the derivative of x²

^{$\frac{\text{d}}{\text{dx}} (\text{e}^\text{x}) = 2\text{x}\text{e}^\text{x}$}