int_(pi/3)^(x)sqrt(3-sin^(2)t)dt+int_(0)^(y)cos tdt=0" then "

If int_(pi//3)^(x)sqrt((3-sin^(2)t))dt+int_(0)^(y)cost dt =0 then (dy)/(dx) is

If int_((pi)/(2))^(x)sqrt(3-2sin^(2))tdt+int_(0)^(y)cos tdt=0, then ((dy)/(dx))atx=pi and y=pi is

If int_(pi/2)^x sqrt(3-2sin^2) tdt+ int_0^y costdt=0, then (dy/dx)at x =pi and y=pi is

Find the derivative (dy)/(dx) of the following implicit functions : (a) int_(0)^(y) e^(-t^(2)) dt + int_(0)^(x^(3)) sin ^(2) t dt = 0 (b) int_(0)^(y) e^(t) dt + int _(0)^(x) sin t dt = 0 (c) int _(pi//2)^(x) sqrt(3 - 2 sin^(2)z ) dz + int_(0)^(y) cos t dt = 0

If int_(0)^(y)e^(-t^(2))dt+int_(0)^(x^(2))sin^(2)tdt=0 , then (dy)/(dx) at x=y=1 is

int_(0)^(2 pi)[sin t]dt

If int_(0)^(y)cos t^(2)dt=int_(0)^(x^(2))(sin t)/(t)dt, then (dy)/(dx) is

If (d)/(dx)(int_(0)^(y)e^(-t^(2))dt+int_(0)^(x^(2)) sin^(2) tdt)=0, "find" (dy)/(dx).

If (d)/(dx)(int_(0)^(y)e^(-t^(2))dt+int_(0)^(x^(2)) sin^(2) tdt)=0, "find" (dy)/(dx).