1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Find points on curve with a tangent line

  1. Feb 10, 2010 #1
    1. The problem statement, all variables and given/known data
    Find points on curve y=sinhx where the tangent line has slope 2

    2. Relevant equations

    3. The attempt at a solution
    y' = 1/(sqrt(1-x^2)) = 2
    4 = 1/(1-x^2)

    the actual answer should be x = +or- ln(2+sqrt(3))
  2. jcsd
  3. Feb 11, 2010 #2


    User Avatar
    Homework Helper

    d/dx(sinhx)=coshx = (ex+e-x)/2

    then solve for ex
  4. Feb 11, 2010 #3
    Remember that the derivative of arcsin x or sin-1x = 1/√(1 - x2). sinh is the hyperbolic sine.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook