Question

f(x) - lim h->0 f(x + h) - f(x)/h, if f(x) = 1/x Use the definition of the derivative to determine if the function is differentiable at x = 0

Answer 1

A. f(x) is differentiable at x = 0.
B. f(x) is not differentiable at x = 0 because the function is not continuous at x = 0.
C. f(x) is not differentiable at x = 0 because the lim h->0 f(x +h) - f(x)/h increases without bound at x = 0.
D. f(x) is not differentiable at x = 0 because the lim h->0 f(x +h) - f(x)/h at x = 0.

Answer 2

@experimentX @Preetha @Luis_Rivera can u help?

Answer 3

the function is not differentiable at zero ... use the definition to find the derivative of 1/x ... then put x=0 and see what you get.

Answer 4

ok i got B

Answer 5

Both B and C applies.

Answer 6

okay so which will be correct? i can't mark both

Answer 7

mark B

Answer 8

ok