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anonymous
 one year ago
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
anonymous
 one year ago
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

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Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2You don't know derivatives yet right

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Ok so remember that definition I showed you a while back? \[\lim_{h \rightarrow 0} \frac{ f(a+h)f(a) }{ h }\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2We are just using \[\lim_{h \rightarrow 0} \frac{ f(x+h)f(x) }{ h }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what is h? I think its 2.

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2That'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.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I 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.

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2It'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
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