MediumDerivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.1 The Derivative of a Function, #31 · Calculus · Derivatives

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This problem uses the square rule: $d (u^{2}) / d x = 2 u (d u / d x)$ .

Take $u = x$ . The derivative of $u^{2}$ is $x$ is $1 = 2 u (d u / d x)$ . So what is $d u / d x$ , the derivative of $x$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.1 The Derivative of a Function, #31

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