How do you differentiate ?
Step 1: Differentiate the function
As we know that, if and are both differentiable and is the composite function defined by then is differentiable and is given by the product .
Here, is the differentiation of outer function and is differentiation of inner function.
Differentiate using the chain rule, which states that is .
Here,
and
Step 2: Use Power Rule to differentiate it.
Now, we will differentiate further by using the power rule.
Here,
Step 3. Find the derivative
Given
We know that if then that is
Hence, the differentiate value of is .