If `(sinx)(cosy)=1/2,` then `(d^2y)/(dx^2)` at `(pi/4,pi/4)` is (a) `-4` (b) `-2` (c) `-6` (d) `0`

If ( sin x) (cos y) = 1//2, then d^(2)y//dx^(2) at (pi//4, pi//4) is

If 2 sin x. cos y=1, then (d ^(2)y)/(dx ^(2)) at ((pi)/(4), (pi)/(4)) is …….

If y=cos^(-1)((1)/(2sin x)) then (d^(2)y)/(dx^(2)) at ((pi)/(4),(pi)/(4)) is

If y=e^( sinx ) the value of (dy)/(dx) at x=(pi)/(2) is , (a) 1 , (b) e , (c) 0 ,(d) not defined .

x=a cos t,y=a sin t then (d^(2)(y))/(dx^(2)) at t=(pi)/(3),(pi)/(6),(pi)/(2),(pi)/(4)

If cos(sinx)=0, then x lies in (a) (pi/4,pi/2)uu(pi/2,\ pi) (b) (-pi/4,\ 0) (c) (pi,(3pi)/2) (d) null set

If x=3tan t and y=3sec t then find (d^(2)y)/(dx^(2)) at x=(pi)/(4)( a) 3( b) (1)/(6sqrt(2))(c)1(d)(1)/(6)

If (a+sqrt2b cosx)(a-sqrt2b cosy)=a^2-b^2, where a gt b gt 0 , then (dx)/(dy) at (pi/4,pi/4) is :