" (in) Let "y=cos^(-1)(e^(x))" .Using chain rule,we have "

Differentiate sin^(-1)(sqrt(cosx)) w.r.t. x, using chain rule.

Differentiate sin^-1(sqrt(cosx)) w.r.t.x, using chain rule.

Let f(x)=e^(cos^(-1)sin(x+ pi/3)) , then

Let f(x)=e^(cos^-1sin(x+pi/3)) , then

Let f(x)=e^(cos^(-1)sin(x+pi//3)) then

Evaluate d/dx(a^(sinx)+e^-x) by chain rule.

Let f(x) = e^(cos^(-1)sin(x + pi//3)) , Then :

If let y=cos^(-1)((1-e^(2x))/(1+e^(2x)))" then "(dy)/(dx)=

Let a curve y = y (x) be given by the solution of differential equation cos ((1)/(2) cos ^(-1) (e ^(-x)) ) dx = sqrt ( e ^( 2x) - 1)dy If it intersects y – axis at y = –1, and the intersection point point of the curve with x – axis is (alpha, theta), then e ^(alpha) is equal to __________.

For some x in [-1, 1] we have cos^(-1)x =tan^(-1)x . The value of x^(2) is :