2021 Easy
Single Choice
Marks: 4.00 / −1.00
The derivative of \( f(x) = x^3 \) is:
- A. \( 3x^2 \)
- B. \( x^2 \)
- C. \( 3x^3 \)
- D. \( x^4/4 \)
Correct Option:
- A. \( 3x^2 \) ✓ Correct
- B. \( x^2 \)
- C. \( 3x^3 \)
- D. \( x^4/4 \)
Hint: Apply the power rule: \( \frac{d}{dx}[x^n] = nx^{n-1} \).
Solution:
\( \frac{d}{dx}[x^3] = 3x^2 \)
derivatives
power-rule