Explain why equals rather than simply

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Explain why ddx[(3x−2)7]\dfrac{d}{dx}\bigl[(3x-2)^{7}\bigr] equals 7(3x−2)6⋅37(3x-2)^{6}\cdot 3 rather than simply 7(3x−2)67(3x-2)^{6}. Your explanation should refer to how the derivative accounts for the rate of change of the inner expression.

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