Question 1
Given the function $f(x) = x^2 e^{2x}$, what is its derivative $f'(x)$?
Question 2
What is the derivative of the function $f(x) = \frac{\sin(x)}{e^x}$?
Question 3
Using the chain rule, what is the derivative of $f(x) = \ln(x^2 + 1)$?
Question 4
If $f(x) = (x^3 + 2x)^4$, what is its derivative $f'(x)$ using the chain rule?
Question 5
What is the derivative of the function $f(x) = x^3 \cdot \cos(x)$ using the product rule?
