If x cos(a+y) = cos y, then prove that dydx=cos2(a+y)sina Hence show

1.	If x cos(a+y) = cos y, then prove that dydx=cos2(a+y)sina Hence show that sin a d2ydx2+sin2(a+y)dydx=0 OR Find dydx if y=sin−1[6x−4√1−4x25].
Answer» If x cos(a+y) = cos y, then prove that $\frac{d y}{d x} = \frac{c o s^{2} (a + y)}{s i n a}$ Hence show that sin a $\frac{d^{2} y}{d x^{2}} + s i n 2 (a + y) \frac{d y}{d x} = 0$ OR Find $\frac{d y}{d x}$ if $y = s i n^{- 1} [\begin{matrix} \frac{6 x - 4 \sqrt{1 - 4 x^{2}}}{5} \end{matrix}] .$

If x cos(a+y) = cos y, then prove that dydx=cos2(a+y)sina Hence show that sin a d2ydx2+sin2(a+y)dydx=0 OR Find dydx if y=sin−1[6x−4√1−4x25].

Answer»

If x cos(a+y) = cos y, then prove that $\frac{d y}{d x} = \frac{c o s^{2} (a + y)}{s i n a}$

Hence show that sin a $\frac{d^{2} y}{d x^{2}} + s i n 2 (a + y) \frac{d y}{d x} = 0$

OR Find $\frac{d y}{d x}$ if $y = s i n^{- 1} [\begin{matrix} \frac{6 x - 4 \sqrt{1 - 4 x^{2}}}{5} \end{matrix}] .$