Differentiate ${cos}^{- 1} (sin x)$ w.r.t $x$

Open in App

Solution

According to question,

$\frac{d}{d x} c o s^{- 1} (s i n x)$

$⟹ \frac{- 1}{\sqrt{1 - s i n^{2} x}} . c o s x$

$⟹ \frac{- c o s x}{c o s x}$

$⟹ - 1$

Suggest Corrections

Similar questions

{tan}^{- 1} (\frac{sin x}{1 + cos x})

x

{cos}^{- 1} (4 x^{3} - 3 x)

x

cos \sqrt{x}

x

x

cos x . cos 2 x . cos 3 x

{sin}^{2} x w . r . t . e^{cos x}

Join BYJU'S Learning Program