Find the $\frac{\mathrm{d}y}{\mathrm{d}x}$ of the following equations in terms of $x$ and $y$:

Question

Find the $\frac{\mathrm{d}y}{\mathrm{d}x}$ of the following equations in terms of $x$ and $y$: ${{x}^{2}}+{{y}^{2}}=25$ ${{x}^{3}}+4{{y}^{2}}=x+2$ $\cos x+\tan y={{y}^{3}}$

Accepted Answer

(i) $-\frac{x}{y}$ (ii) $\frac{1-3x^2}{8y}$ (iii) $\frac{\sin x}{\sec^2y-3y^2}$

Techniques of Differentiation - Implicit Differentiation

Techniques of Differentiation - Implicit Differentiation

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