How do you differentiate #f(x)=sqrtxsinx#?
To take the derivative of this, we need two rules. The first rule is the chain rule, which states:
The second rule we need is the power rule, which states:
Now, we can start taking the derivative. To simplify this, I'm going to rewrite
To start, I'm going to take the derivative of each section.
Now that we have them, we can put them together:
And there you have your answer.