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Calculus · DER

Product Rule — Differentiate a Product of Two Functions

(fg)' = f'g + fg'. If you have a product, differentiate each factor in turn while holding the other fixed.

CalculusCommon Core FUN-3.BDERVerified correct ✓

Worked examples

Find d/dx[(4x + 3)(1x² + 6)].
Answer: 12*x**2 + 6*x + 24

Find d/dx[(2x - 2)(1x² - 4)].
Answer: 6*x**2 - 4*x - 8

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