If `f(x)` attains a local minimum at `x=c` , then write the values of `f^(prime)(c)` and `f"(c)` .

If f(x) attains a local minimum at x=c , then write the values of f^(prime)(c) and f^(prime)prime(c) .

If f(x) attains a local minimum at x=c, then write the values of f'(c) and f(c)

If f(x) is differentiable at x=c , then write the value of (lim)_(x->c)f(x) .

If f(x) is differentiable at x=c, then write the value of (lim)_(x rarr c)f(x)

If f(X) attains a local minimum value at x = c and f"(c )> 0 , then what can you say about f' (c ) ?

Write the value of (lim)_(x rarr c)(f(x)-f(c))/(x-c)

Write the value of lim_(x->c)(f(x)-f(c))/(x-c) .

If a function f(x) has a local extremum at a point x = c, then what can be said about f' (c)?

If f(x)=A x^2+B x+C is such that f(a)=f(b) , then write the value of c in Rolles theorem.

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