sin x cos y 1 find dy dx

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sin x cos y 1 find dy dx Differentiate both sides of the equation d dx y d dx cos x 1 sin x d d x y d d x cos x 1 sin x The derivative of y y with respect to x x is y y

We know that sin 1x cos 1x 2 2 So here y sin 1 x cos 1 x 2 2 which is a constant Also sin 1 x and cos 1 x exist only when 1 x 1 So dy dx d y d x 0 Differentiation Find dy dx sin xy cos x y 1

sin x cos y 1 find dy dx

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sin x cos y 1 find dy dx
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Wolfram Alpha is a great calculator for first second and third derivatives derivatives at a point and partial derivatives Best answer Given that Prev Question Next Question Solve dy dx cos x y sin x y

Dy dx xtanx 1 secx secxcos 2y We will use the Usual the Rule of Implicit Differentiation xcosy sin x y sinxcosy cosxsiny x sinx cosy cosxsiny Differentiate both sides of the equation d dx y d dx sin x 1 cos x d d x y d d x sin x 1 cos x The derivative of y y with respect to x x is y y

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You need to find an integrating factor such that your equation becomes exact More specifically xsin y ycos y dx xcos y ysin y dy 0 xsin y ycos y Differentiate both sides of the equation d dx cos xy d dx 1 sin y d d x cos x y d d x 1 sin y Differentiate the left side of the equation

Solve cos x dy y sin x y dx cos x d y y sin x y d x Example 23 Find if y sin y cos y sin y cos x Differentiating both sides by x sin sin sin x

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sin x cos y 1 find dy dx - Differentiate both sides of the equation d dx y d dx sin x 1 cos x d d x y d d x sin x 1 cos x The derivative of y y with respect to x x is y y