If Y = Sin-1 X + Cos-1x Find (Dy)/(Dx) - Mathematics

Question

If y = sin^-1 x + cos^-1x find $\frac{d y}{d x}$ .

Sum

Solution

y = $\sin^{- 1} x + \cos^{- 1} x$

⇒ $\frac{d y}{d x} = \frac{d}{d x} (\sin^{- 1} x + \cos^{- 1} x)$

= $\frac{d}{d x} (\sin^{- 1} x) + \frac{d}{d x} (\cos^{- 1} x)$

= $\frac{1}{\sqrt{1 - x^{2}}} - \frac{1}{\sqrt{1 - x^{2}}}$

= 0

Therefore, $\frac{d y}{d x}$ = 0.

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If Y = Sin-1 X + Cos-1x Find (Dy)/(Dx) - Mathematics

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