If `y=1/(t^2+t-2),w h e r et=1/(x-1),` then find the number of points where `f(x)` is discontinuous.

If y=1/(t^2+t-2),where \ t=1/(x-1), then find the number of points where f(x) is discontinuous.

If y = frac(1)(t^2-t-6 and t = frac(1)(x-2) then the values of x which make the function y discontinuous, are

Let f(x)={8^(1/x),x<0a[x],a in R-{0},xgeq0, (where [.] denotes the greatest integer function). Then (a) f(x) is Continuous only at a finite number of points (b)Discontinuous at a finite number of points. (c)Discontinuous at an infinite number of points. (d)Discontinuous at x=0

Consider the equation 2/x+5/y=1/3w h e r ex ,y in Ndot Find the number of solutions of the equation.

Ifint_(sinx)^1t^2f(t)dt=1-sinx ,w h e r e .x in (0,pi/2), then find the value of f(1/(sqrt(3)))dot

Ifint_(sinx)^1t^2f(t)dt=1-sinx ,w h e r e .x in (0,pi/2), then find the value of f(1/(sqrt(3)))dot

If x=(2t)/(1+t^2) , y=(1-t^2)/(1+t^2) , then find (dy)/(dx) .

Find the derivatives w.r.t. x : (1+x)^(x)

If y = (1)/(sqrt(x + 1)) , then the rate measure of y w.r.t. x at the point x = 3 is -

If f: R^+ to R , f(x) + 3x f(1/x)= 2(x+1),t h e n find f(x)