If `f(x) = u/v` then `f'' (x) =` `1/v^3`

If f(x) = x + sin x, g(x) = e^(-x), u = sqrt(c + 1) - sqrt(c), v = sqrt(c) - sqrt(c - 1), (c gt 1) then a)fog (u) lt fog (v) b)gof (u) lt gof (v) c)gof (u) gt gof (v) d)fog (u) lt fog (v)

If f(x)=ux+v the number of points in {(u,v);f(x)=fo(x)f or allxin R} is (a) finitely many (b) infinitely many (c) 2 (d) 4

If u=f(x^2), v=g(x^3) , f'(x)=sinx and g'(x)= cos x then find (du) / (dv) .

If u = f(x^2) , v = g(x^3), f^(1)(x) = sinx , g^(1)(x) = cos x then find (du)/(dv)

The graph of y = f(x) is shown to the right. If f(-1) = v , then which one of the following could be the value of f(v) ?

Find domain(i) f(x) = (1)/(x - 5) (ii) f(x) = (3 - x)/(x - 3) (iii) f(x) = (x^(2) - 1)/(x - 1) (iv) f(x) = (| x - 3 |)/(x - 3) (v) f(x) = (1)/(2 - sin 3x)

If f(u) = 1/(u^(2)+u-2) , where u = 1/(x-1) , then the points of discontinuity of f are x = …..

Let A = {x, y, z), B = {u, v, w} and f : A rarr B be defined by f(x) = u, f(y) = v, f(z) = w. Then, f is

Let A = {x, y, z), B = {u, v, w} and f : A rarr B be defined by f(x) = u, f(y) = v, f(z) = w. Then, f is