Ask
your own question, for FREE!
Mathematics
7 Online
Find the slope of the tangent line to the curve f(x)= x^2 + x - 1/x at x=-2
Still Need Help?
Join the QuestionCove community and study together with friends!
You need to take the derivative of f(x) which represents you're curve. This will give you the slope as a function of x, and then you can plug in you're x value.
that is \[f'(x)=2x+1+\frac{1}{x^2}\] now plug in -2
you get \[f'(-2)=2\times -2+1+\frac{1}{(-2)^2}\]
i get \[-\frac{11}{4}\] as the slope
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!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
Countless7Echos:
Aye.. I need actually some help on the shading here.. if the light is from above too I just feel something is off.
kaelynw:
tried a lil smt, the arm is off but i like the other stuff
Countless7Echos:
I don't know just no sketch doodle day :p finished a video already so I'm pretty
Ferrari:
Depression Hi, it's me, Jordan (ferrari). It's supposed to be the Fourth of July but I feel kinda depressed and mad at myself for no reason.
4 hours ago
19 Replies
3 Medals
16 hours ago
27 Replies
3 Medals
2 days ago
9 Replies
2 Medals
2 days ago
13 Replies
1 Medal