Question

y=1/x-2,x=4
the slope of the given curve at x=4 is?

Answer 1

Can you find the 1st Derivative?

Answer 2

i think its -1/(x-2)^2

Answer 3

not sure though

Answer 4

It's all fine... now just substitute x=4 in here...

Answer 5

it means :
m = -1/(x-2)^2 = -1/(4-2)^2 = ........

Answer 6

BTW, you wrote the original problem incorrectly. What you wrote is \(\dfrac{1}{x} - 2\). This seems not to be what was intended.