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Question 12

MEDIUM

44:12

What is the derivative of f(x) = x³?

Ready to answer

Select the correct derivative before submitting.

Select one answer

Option A — 3x² Differentiate using the power rule.

Option B — x² Drops a coefficient; incorrect.

Option C — 3x Forgets to reduce the exponent.

Option D — x³ Original function, no differentiation.

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Question 12 of 24

AI explanation

High confidence

Great job — differentiating x³ yields 3x² by multiplying the power and decreasing it by one.

Key points

Apply the power rule
Reduce the exponent by one
Simplify coefficients

Steps

Identify the exponent (3)
Multiply by the exponent
Subtract one from the exponent

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