Adaptive Practice
Differentiation
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Question 1 of 10
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Easy
If \( f(x) = 5x^3 - 2x + 7 \), what is \( f'(x) \)?
Easy
Find the derivative of \( y = \sqrt{x} \).
Easy
If \( y = \sin x \), what is \( \frac{dy}{dx} \)?
Medium
Differentiate \( y = e^{3x} \).
Medium
Find \( \frac{dy}{dx} \) if \( y = \ln(2x + 1) \).
Hard
If \( y = x^x \), find \( \frac{dy}{dx} \).
Medium
Find the second derivative \( \frac{d^2y}{dx^2} \) if \( y = 3x^4 - 5x^2 + x \).
Hard
If \( y = \frac{2x + 3}{x - 1} \), find \( \frac{dy}{dx} \).
Medium
Differentiate \( y = \tan^{-1}(x) \).
Hard
If \( y = \ln(\sin x) \), find \( \frac{dy}{dx} \).