Ask your own question, for FREE!
Mathematics 9 Online
OpenStudy (anonymous):

Find the derivative f(x) = -7/x at x = -3

hartnn (hartnn):

do you know the general formula ? derivative of x^n is ?

OpenStudy (anonymous):

isn't it the slope formula?

hartnn (hartnn):

nah, if \(f(x) = x^n \\ \large f'(x) = n x^{n-1}\) heard of it ?

OpenStudy (anonymous):

no. Do I just plug in x?

hartnn (hartnn):

-7/x since -7 is constant, it can be thrown out of the derivative \((-7/x)' = (-7) (1/x)' = -7 (x^{-1})'\) and for derivative of x^(-1) you can use that general formula just plug in n = -1

OpenStudy (anonymous):

-7/-1?

hartnn (hartnn):

no....plug in n = -1 in n x^(n-1)

OpenStudy (anonymous):

(-1) (-3)^(-1-1) I don't get it.

hartnn (hartnn):

|dw:1397678538186:dw| got this ?

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
laylasnii13: Who wanna write or make a song with me???
2 hours ago 0 Replies 0 Medals
kaelynw: art igg
1 hour ago 9 Replies 1 Medal
XShawtyX: Art
20 hours ago 6 Replies 0 Medals
Nina001: teach me how to draw or just tell me the basics
22 hours ago 2 Replies 1 Medal
XShawtyX: We doing another drawing gimme ideas to add to this
23 hours ago 9 Replies 1 Medal
RAVEN69: What is x 3+y 3+z 3=k
1 day ago 20 Replies 1 Medal
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!