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 a function f(x) has f'(a)=0 and f''(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) and (b)f(x) is necessarily a constant function.

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.

If a function f(x) has f^(prime)(a)=0 and f^(primeprime)(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.

If f(x)=m x+ca n df(0)=f^(prime)(0)=1. What is f(2)?

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

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

Lert f:[a , b]vec be a function such that for c in (a , b),f^(prime)(c)=f^(ii) (c)=f^(iii) (c)=f^(iv) (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

Let f:[a-> b] be a function such that for c in (a , b),f^(prime)(c)=f^(ii) (c)=f^(iii) (c)=f^(iv) (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

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=c dot (b) f has neither local maximum nor minimum at x=c (c) f 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