If a function `f(x)` is differentiable at x = c prove that it is continuous at x = c.

if a function f(x) is differentiable at x=c then it is also continuous at x=c

If a function f is differentiable at a point c, then prove that it is also continuous at that point.

State True or False .A function is not differentiable at x=crArrf is not continuous at x=c.

Let f(x) be an even function forall x in R If f(x) is continuous at x = a, prove that it is continuous at x = - a.

Let f (x) be an odd function for continuous at x in R If f(x) is continuous at x = a, prove that it is continous at x=-a

If f(x) = 3(2x + 3)^(2//3) + 2x + 3 , then: (a) f(x) is continuous but not differentiable at x = - (3)/(2) (b) f(x) is differentiable at x = 0 (c) f(x) is continuous at x = 0 (d) f(x) is differentiable but not continuous at x = - (3)/(2)

if f(x) ={{:( (x log cos x)/( log( 1+x^(2) )), x ne 0) ,( 0, x=0):} a. f is continuous at x = 0 b. f is continuous at x = 0 but not differentiable at x = 0 c. f is differentiable at x = 0 d. f is not continuous at x = 0

If f(x)=|3-x|+[3+x] , where [x] denotes the least integer greater than or equal to x , then f(x) is:(a) continuous and differentiable at x=3. (b) continuous but not differentiable at x=3. (c)differentiable but not continuous at x=3. (d)neither differentiable nor continuous at x=3..

Let f(x)=(x+|x|)|x|. Then,for all x is continuous (b) f is differentiable for some x (c) f' is continuous (d) f is continuous