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Dictionary · C

Chain rule

The rule for differentiating a composite function: differentiate the outer function, keep the inner one, and multiply by the derivative of the inner function.

Example

ddx(2x+1)3=3(2x+1)2×2=6(2x+1)2\frac{d}{dx}(2x + 1)^3 = 3(2x + 1)^2 \times 2 = 6(2x + 1)^2.