thahalbor2shekhat9er
thahalbor2shekhat9er thahalbor2shekhat9er
  • 21-07-2016
  • Mathematics
contestada

Find an equation of the tangent line to the hyperbola: x^2/a^2 - y^2/b^2 = 1 at the point (x0,x1)

Respuesta :

meerkat18
meerkat18 meerkat18
  • 22-07-2016

The standard form of a hyperbola is x2/a2 − y2/ b2 = 1
the tangent line is the first derivative of the function
y′ = b^2x/ a^2 y
hence the slope is 
m = b^2 x0 / a^2 x1

Therefore the equation of the tangent line isy−x1 = b^2 x0 / a^2 x1* (x−x0)

Answer Link

Otras preguntas

which was a significant success of clinton's early presidency?
What nonliving materials are important to living things?
1/5 x 7/8 x 5/6 what is the product?
bonjour à tous j'espere que vous allez bien la prof nous a demander de choisir un article et faire son compte rendu mais le probléme c'est que je ne sais pas qu
What is 29 2/19 plus 5 1/2?
What does a food web link together?
Describe an example of each of Newton's laws of motion that you experience before you get to school in the morning. Include some of the forces involved in each
Betsy has 10 more dimes than quarters if she has 3.45 how many coins does she have
What is the sum 13,094 259,728?
Find the mode for 320,280,280,250,270