Question

f(x) = 3/x - 2'
f(x) = 13/2x​

Answer 1

Step-by-step explanation:

We know that function is differentiable at x, if LHD at x = RHD at x .

Now,

LHD of f(x) at x=3, lim

h→0

(3−h)−3

12(3−h)−13−(12(3)−13)

=12

RHD of f(x) at x=3, lim

h→0

(3+h)−3

2(3+h)

2

+5−(2(3)

2

+5)

=12

Since LHD = RHD, f(x) is differentiable at x=3 .

f'(3) = 12