Question 1
Which of the following functions requires the application of both the product rule and the chain rule for differentiation?
Question 2
If $f(x) = \sqrt{x} \cdot e^{2x}$, what is $f'(x)$?
Question 3
Given $y = \frac{\ln(x^2+1)}{x}$, what is $\frac{dy}{dx}$?
Question 4
Using the chain rule, find the derivative of $f(x) = \cos(e^{3x})$.
Question 5
If $f(x) = (\sin(x))^4$, what is $f'(x)$?
