A continuous and differentiable function `y=f(x)` is such that its graph cuts line `y=m x+c` at `n` distinct points. Then the minimum number of points at which `f^(x)=0` is/are `n-1` (b) `n-3` `n-2` (d) cannot say

If f(x) is continuous and differerntiable function such that f((1)/(n))=0 for all n in N , then

If f(x) is a real-valued function discontinuous at all integral points lying in [0,n] and if (f(x))^(2)=1, forall x in [0,n], then number of functions f(x) are

Suppose that f is differentiable function with the property f(x+y)=f(x)+f(y) and lim_(x rarr0)(f(x))/(x)=100 ,then f'(2) is equal to N ,then the sum of digits of N is....

If f(x) = e^(-|ln x| , x in (0, oo) is discontinuous at m points and non differentiable at n points then the vlaue of m n is

If f(x)=x^(n) wheren in R, then differentiation of x^(n) with respect to x sin x^(n-1) .

Let f(x)=[n+p sin x],x in(0,pi),n in Z,p a prime number and [x]= the greatest integer less than or equal to x.The number of points at which f(x) is not not differentiable is:

Draw the graph of the function y=f(x)=lim_(ntooo) cos^(2n)x and find its period.

Let f(x) be a differentiable function such that f(0)=1,f(1)=2,f(2)=1 and f(4)=4 .The graph of y=f'(x) is given below If x in (0,5) ,then find the total number local maximum points and local minimum points.

The function f(x)=|cos x| is (a) everywhere continuous and differentiable (b) everywhere continuous but not differentiable at (2n+1)pi/2,n in Z(c) neither continuous nor differentiable at (2n+1)pi/2,n in Z(d) none of these