Find-an-equation-of-the-tangen-line-to-the-graph-of-the-given-equation-at-the-indicated-point-P-1-xy-16-0-P-2-8-2-y-2-4x-2-5-P-1-3-3-2x-3-x-2-y-y-3-1-0-P-2-3-4-3y-4-4x-x-2-sin

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Question Number 156106 by zainaltanjung last updated on 08/Oct/21

$$\mathrm{Find}\mathrm{an}\mathrm{equation}\mathrm{of}\mathrm{the}\mathrm{tangen}\mathrm{line}$$$$\mathrm{to}\mathrm{the}\mathrm{graph}\mathrm{of}\mathrm{the}\mathrm{given}\mathrm{equation}$$$$\mathrm{at}\mathrm{the}\mathrm{indicated}\mathrm{point}\mathrm{P}$$$$1).\mathrm{xy}+16=0\to \mathrm{P}(-2,8)$$$$2).{\mathrm{y}}^2-{4\mathrm{x}}^2=5\to \mathrm{P}(-1,3)$$$$3).{2\mathrm{x}}^3-{\mathrm{x}}^2\mathrm{y}+{\mathrm{y}}^3-1=0\to \mathrm{P}(2,-3)$$$$4).{3\mathrm{y}}^4+4\mathrm{x}-{\mathrm{x}}^2\sin \mathrm{y}-4=0\to \mathrm{P}(1,0)$$$$5).{\mathrm{y}}^4+3\mathrm{y}-{4\mathrm{x}}^2=5\mathrm{x}+1\to \mathrm{P}(1,-2)$$

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