find the tangent to y=27/(x^2+2) at (1,9)

  1. 👍 0
  2. 👎 0
  3. 👁 97
  1. y = 27(x^2+2)^-1
    dy/dx = -27(2x)(x^2+2)^-2 = -54x/(x^2+2)^2
    at x = 1 , dy/dx = -54/9 = -6

    y = -6x+b , sub in the point (1,9)
    9 = -6+b
    b = 15

    tangent equation: y = -6x + 15

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. maths --plse help me..

    if tangent to the curve y=2sinx +sin2x are drawn at p(x=60degree) then find the area of the quadrilateral formed by the tangent the normal at P and the coordinate axis

    asked by Anamika on December 4, 2012
  2. Math

    Find the equation of the line tangent to curve x=sec(t), y=tan(t), at t=pi/6. I found th slope(derivative of the two which was csc(t). Plugged in Pi/6 and got 2 as the slope. Now how do I find the equation of the tangent? There

    asked by Beth on December 17, 2015
  3. calculus

    1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4.

    asked by mock on January 15, 2015
  4. solid mensuration

    let a and b be opposite vertices of a unit cube (i.e. , the distance between a and b is the square root of 3). find the radius of a sphere, whose center is in the interior of the cube, that is tangent to the three faces that at a

    asked by aivan alob on March 20, 2014
  1. Calculus

    Consider the curve y^2+xy+x^2=15. What is dy/dx? Find the two points on the curve where y equals 0 and show that the tangent lines there are parallel. Find the coordinates of all points on the curve where there is a horizontal

    asked by K.Jeanes on April 19, 2011
  2. geometry

    Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x. Figures are not drawn to scale. m

    asked by zack on May 24, 2013
  3. Geometry Multiple Choice Question Please Help!

    Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. {THe figure is a circle with a tangent crossing through the top section of the circle. The value of the tangent is 12.

    asked by LeXi;) on May 17, 2012
  4. math

    Find the measure of the line segment GE. Assume that lines which appear tangent are tangent.

    asked by Anonymous on April 7, 2019
  1. math b

    how to find if line rp is tangent to circle 0 at p, and the circle bisects 0r at point m. if tangent segment rp has a length of a radius of circle o how do i find the radcal form and the nearsest hundreth

    asked by jeannine on November 16, 2008
  2. calculus

    Find an equation of the tangent(s) to the curve at a given point. Then graph the curve and the tangent(s). x = 6sin(t), y = t^2 + t; (0,0) How do I do this without the value of t? I don't see a way to eliminate the parameter.

    asked by Daniel on December 16, 2011
  3. Calculus

    There are two neighboring points P and Q on the curve f(x)=x^2 (a) Determine m(h), the slope of the straight line PQ (b) The slope, S, of the tangent at P is defined as S=lim h->0 m(h). Find the value of S. (c) Use this value of S

    asked by Vincent on July 9, 2011
  4. math

    Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x)=7x-5x^2 at (-2,-34) m = ?? y = ?? .

    asked by Kimberly on March 4, 2013

You can view more similar questions or ask a new question.