If for a function `f(x),f^'(a)=0,f^(' ')(a)=0,f^(''')(a)>0,` then at `x=a ,f(x)` has a (a) minimum value (b) maximum value (c)not an extreme point (d) extreme point

A function f such that f'(a)=f''(a)=….=f^(2n)(a)=0 , and f has a local maximum value b at x=a ,if f (x) is

If a function f(x) has f^(prime)(a)=0a n df^(a)=0, then (a) x=a is a maximum for f(x) (b) x=a is a minimum for f(x) (c)can not conclude anything about its maxima and minima (d) f(x) is necessarily a constant function.

A polynomial function f(x) is such that f'(4)= f''(4)=0 and f(x) has minimum value 10 at x=4 .Then

If h(x)=f(x)+f(-x), " then " h(x) has got and extreme value at a point where f'(x) is

Let f(x)=x+(1)/(x),xne0. Discuss the maximum and minimum value of f(x).

Let f(x)=(x-1)^(4) discuss the point at which f(x) assumes maximum or minimum value.

For the function f(x)=x+1/x x=1 is a point of maximum (b) x=-1 is a point of minimum (c) maximum value > minimum value (d) maximum value < minimum value

Find the maximum and minimum values of the function f(x) = x+ sin 2x, (0 lt x lt pi) .

Let f(x) be a function defined as follows: f(x)=sin(x^2-3x),xlt=0; and 6x+5x^2,x >0 Then at x=0,f(x) (a) has a local maximum (b) has a local minimum (c) is discontinuous (d) none of these

Given the function f(x)=x^2e^-(2x) ,x>0. Then f(x) has the maximum value equal to a) e^-1 b) (2e)^-1 . c) e^-2 d) none of these