Let `f` be continuous and differentiable function such that `f(x)` and `f'(x)` has opposite signs everywhere. Then (A) `f` is increasing (B) `f` is decreasing (C) `|f|` is non-monotonic (D) `|f|` is decreasing

Let f be continuous and differentiable function such that f(x) and f(x) have opposite signs evergywhere . Then

Let a continous and differentiable function f(x) is such that f(x) and (d)/(dx)f(x) have opposite signs everywhere. Then,

Let f be the continuous and differentiable function such that f(x)=f(2-x), forall x in R and g(x)=f(1+x), then

Let f:R rarr R be a differentiable function for all values of x and has the property that f(x) andf '(x) has opposite signs for all value of x. Then,(a) f(x) is an increasing function (b) f(x) is an decreasing function (c)f^(2)(x) is an decreasing function (d)|f(x)| is an increasing function

Let f: R->R be a differentiable function for all values of x and has the property that f(x)a n df^(prime)(x) has opposite signs for all value of xdot Then, (a) f(x) is an increasing function (b) f(x) is an decreasing function (c) f^2(x) is an decreasing function (d) |f(x)| is an increasing function

Let f: R->R be a differentiable function for all values of x and has the property that f(x)a n df^(prime)(x) has opposite signs for all value of xdot Then, (a) f(x) is an increasing function (b) f(x) is an decreasing function (c) f^2(x) is an decreasing function (d) |f(x)| is an increasing function

Let f: R->R be a differentiable function for all values of x and has the property that f(x)a n df^(prime)(x) has opposite signs for all value of xdot Then, (a) f(x) is an increasing function (b) f(x) is an decreasing function (c) f^2(x) is an decreasing function (d) |f(x)| is an increasing function

Let f(x) be continuous and differentiable function everywhere satisfying f(x+y)=f(x)+2y^(2)+kxy and f(1)=2, f(2)=8 then the value of f(3) equals

Let f(x) be a continuous & differentiable function on R satisfying f(-x)=f(x)&f(3+x)=f(3-x)AA x in R . If f'(1)=-5 then f'(7) =