Homework Help Question & Answers

use implicit differentiation to find the slope of the tangent line to the curve (y)/(x-7y)=x^6+5 at the point (1,6/43)

use implicit differentiation to find the slope of the tangent line to the curve (y)/(x-7y)=x^6+5 at the point (1,6/43)
0 0
Add a comment
Answer #1

Sign Up to Unlock the answer FREE

Already have an account? Log in

when you cross multiply how do you get 36y?
answered by: peter botros
Add a comment
Answer #2

Sign Up to Unlock the answer FREE

Already have an account? Log in

THANK YOU !
answered by: cannon ball
Add a comment
Answer #3

Sign Up to Unlock the answer FREE

Already have an account? Log in

when you cross multiply how do you get 36y?
answered by: Rabika
Add a comment
Answer #4

Sign Up to Unlock the answer FREE

Already have an account? Log in

I would cross-multiply, then simplify to avoid using the quotient rule to get

36y = x^7 + 5x - 7x^6y
36dy/dx = 7x^6 + 5 -7x^6dy/dx - y(42x^5)
dy/dx(36 + 7x^6) = 7x^6 + 5x - 42yx^5
dy/dx = (7x^6 + 5x - 42yx^5)/(36+7x^6)

sub in x=1 and y = 6/43)

I will leave the arithmetic for you
answered by: sdfgg
Add a comment
Know the answer?
Add Answer to:
use implicit differentiation to find the slope of the tangent line to the curve (y)/(x-7y)=x^6+5 at the point (1,6/43)
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coin

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT