anonymous
  • anonymous
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
Calculus1
katieb
  • katieb
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anonymous
  • anonymous
a
Astrophysics
  • Astrophysics
You don't know derivatives yet right
anonymous
  • anonymous
right.

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Astrophysics
  • Astrophysics
Ok so remember that definition I showed you a while back? \[\lim_{h \rightarrow 0} \frac{ f(a+h)-f(a) }{ h }\]
Astrophysics
  • Astrophysics
We are just using \[\lim_{h \rightarrow 0} \frac{ f(x+h)-f(x) }{ h }\]
anonymous
  • anonymous
what is h? I think its 2.
Astrophysics
  • Astrophysics
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.
anonymous
  • anonymous
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.
Astrophysics
  • Astrophysics
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
anonymous
  • anonymous
ok my answer is 2/3

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