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Standard Formulae - 1

ntIf y = (1+s...

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ntIf y = (1+sinx-cosx/1+sinx+cosx), prove that dy/dx=1/1+cosxn

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y = \sqrt{sin x + \sqrt{sin x + \sqrt{x} + . . . . \infty}}

\frac{d y}{d x} = \frac{cos x}{2 y - 1}

y = \sqrt{cos x + \sqrt{cos x + \sqrt{cos x + . . . . . . . \infty}}}

then prove that

\frac{d y}{d x} = \frac{- sin x}{(2 y - 1)}

.

y = \frac{sin x}{1 + \frac{cos x}{1 + \frac{sin x}{1 + cos x . . . \infty}}}

\frac{d y}{d x} = ?

y = \frac{cos x - sin x}{cos x + sin x}

\frac{d y}{d x} + y^{2} + 1 = 0

y = \sqrt{sin x - \sqrt{sin x - \sqrt{sin x - . . . . . \infty}}}

\frac{d y}{d x} =

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