Question

fan medal and testimonial. help plz
what is the instantaneous slope of y= -2/x at x=3?
a. -2/9
b. 2/9
c. 2/3
d. -2/3

Answer 1

a

Answer 2

You don't know derivatives yet right

Answer 3

right.

Answer 4

Ok so remember that definition I showed you a while back? \[\lim_{h \rightarrow 0} \frac{ f(a+h)-f(a) }{ h }\]

Answer 5

We are just using \[\lim_{h \rightarrow 0} \frac{ f(x+h)-f(x) }{ h }\]

Answer 6

what is h? I think its 2.

Answer 7

That's the definition of the instantaneous rate of change, you have to plug in f(3), how are you getting 2? Guessing isn't going to help on tests.

Answer 8

I got the 2 from the equation itself y= -2/x. im asking because I am looking for h I know I have to plug in 3 but h has me confused.

Answer 9

It's the definition, you must've learned about the slope of a tangent line, and drawing it out the graphs we basically represent \[\Delta x = h\] from \[\frac{ \Delta y }{ \Delta x }\] that's the simplest way I can put it

Answer 10

ok my answer is 2/3