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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.1 The Chain Rule, #44 · Calculus · Differentiation rules

Final practice with the chain rule and other rules (and other letters!)

Explain why $\frac{d}{d x} (\frac{d z}{d y}) = (\frac{d ^{2} z}{d y ^{2}}) (\frac{d y}{d x})$ in equation (8).
Check this when $z = y^{2}$ , $y = x^{3}$ .

Final practice with the chain rule and other rules (and other letters!). Find the $x$ or $t$ derivative of $z$ or $y$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.1 The Chain Rule, #44

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