`y=f(x)` is differentiable function and `g(x)=f(x-x^2)` If `y=g(x)` has local maximum at `x=1/2` but the absolute maximum exists at some other points, then minimum number of solution of `g'(x)=0` is

If a differentiable function f(x) has a relative minimum at x=0, then the function g = f(x) + ax + b has a relative minimum at x =0 for

Let f and g be two differentiable functions defined from R->R^+. If f(x) has a local maximum at x = c and g(x) has a local minimum at x = c, then h(x) = f(x)/g(x) (A) has a local maximum at x = c (B) has a local minimum at x = c (C) is monotonic at x = c 1.a g(x) (D) has a point of inflection at x = c

f and g differentiable functions of x such that f(g(x))=x," If "g'(a)ne0" and "g(a)=b," then "f'(b)=

The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local maximum at ……… and local minimum ………..

Let f(x) be a function defined as follows: f(x)=sin(x^(2)-3x),x 0 Then at x=0,f(x) has a local maximum has a local minimum is discontinuous (d) none of these

The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a local maximum at x equal to:

The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a local maximum at x =

The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a local maximum at x equal to: