If a function `f(x)` has `f^(prime)(a)=0a n df^(a)=0,` then `x=a` is a maximum for `f(x)` `x=a` is a minimum for `f(x)` it is difficult to say `(a)a n d(b)` `f(x)` is necessarily a constant function.

If for a function f(x),f'(a)=0,f"(a)=0,f'''(a)gt0, then at x=a,f(x) is

Lert f:[a , b]vec be a function such that for c in (a , b),f^(prime)(c)=f^(c)=f^(c)=f^(i v)(c)=f^v(c)=0. Then f (a)has a local extermum at x=cdot f (b)has neither local maximum nor minimum at x=c f (c)is necessarily a constant function (d)it is difficult to say whether a)or(b)dot

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

A function y=f(x) satisfying f'(x)=x^(-(3)/(2)),f'(4)=2 and f(0)=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

The function f(x)=x+(36)/(x),(x>0) has a minimum at

Let [.] denotes G.LP. for the function f(x)=(tan (pi[x-pi])/(1+[x]^2)) the wrong statement is (A) f(x) is discontinuous at x=0 (B) f(x) is continuous for all values of x (C) f(x) is continuous at x=0 (D) f(x) is a constant function