Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.5 The Chain Rule, #46 · Multivariable Calculus · Partial derivatives

On the curve …, find … and … by implicit differentiation

On the curve $sin x + sin y = 0$ , find $d y / d x$ and $d^{2} y / d x^{2}$ by implicit differentiation.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.5 The Chain Rule, #46

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