calculus please help me

Let f(x)=9sinx/2sinx+4cosx.
Then 'f(x)= ((2sinx+4cosx)(9cosx)-(9sinx)(2cosx-4sinx))/(2sinx+4cosx)^2.
The equation of the tangent line to y=f(x) at a=2 can be written in the form y=mx+b where
m= 9and
b= ______.?????

  1. 👍 0
  2. 👎 0
  3. 👁 199
asked by Leslie

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Let f(x)=9sinx/2sinx+4cosx Then f'(x)=________ . The equation of the tangent line to y=f(x) at a= pi/2 can be written in the form y=mx+b where m= _____and b=_____

    asked by Justin on May 6, 2008
  2. Math - trig

    Determine the general solution of 8 cos^2x - 4cosx - 1 =0 (8cos^2x - 4cosx)/8 =1/8 cos^2x - 4cosx=1/8 cos^2x/cosx =1+4cosx/cosx cosx = 5 x = cos^-1(5) x = error

    asked by Bontle on July 26, 2014
  3. Math, please help

    Which of the following are trigonometric identities? (Can be more then one answer) tanx cosx cscx = 1 secx-cosx/secs=sin^2x 1-tanxtany=cos(x+y)/cosxcosy 4cosx sinx = 2cosx + 1 - 2sinx Find all solutions to the equation cosx

    asked by Jill on January 14, 2014
  4. pre-calculus

    (tan^2x-9)(2cosx+1)=0 Find one period 4cos^2x-4cosx+1=0 find all angles and name 8 angles 7sin^2x-22sinx+3=0 find all angles and name 8 angles 2cos^2x-7cosx=-3 find one period sinx(2sinx+1)=0 find one period

    asked by Adam on April 22, 2012
  5. Per-calc Helppppp

    keep in mind answers should be pi radians or if necessary 3 dec. csc^2-2=0 all angles 4cos^2x-4cosx+1=0 all angles and name 8 angles 7sin^2x-22sinx+3=0 all angles and name 8 angles 2cos^2x-7cosx=-3 all angles sinx(2sinx+1)=0 all

    asked by Amanda on April 19, 2012
  6. maths

    by equating the coefficients of sin x and cos x , or otherwise, find constants A and B satisfying the identity. A(2sinx + cosx) + B(2cosx - sinx) = sinx + 8cosx I got A = 2, B = 3, which the answers said were correct. However,

    asked by Candice on October 19, 2012
  7. math

    a rectangle is to be inscribed under the arch of the curve y = 2cosx from x=-pi to x=pi. What is the length of the base of the rectangle with maximum area? can someone help me with this....i have a lot of problems to do just like

    asked by kelli on December 9, 2009
  8. Calculus

    Determine the concavity and find the points of inflection. y=2cosx + sin2x 0≤x≤2pi y'=-2sinx + 2cos2x y"=-2cosx-4sinx How do I find the IP(s)?

    asked by sh on March 24, 2010
  9. Calculus

    Find an equation of the tangent line to the given curve at the given point y=(1/cosx)-2cosx at((pi/3),1) y'=0+2sinx slope = √3 y=mx+b 1=(√3)(pi/3)+b b=(3-√3pi)/3 3√3x-3y+3-√3pi=0 What did I do wrong? Thanks in advance.

    asked by sh on March 24, 2010
  10. Calculus (Normal Line, please check my work)

    The slope of the line normal to the graph of 4 sin x + 9 cos y = 9 at the point (pi, 0) is: Derivative: 4cosx - 9siny(dy/dx) = 0 (dy/dx) = (-4cosx) / (-9siny) (dy/dx) = (4) / 0 Normal line = -1 / (4/0) Does this mean that the

    asked by Mishaka on December 17, 2011

More Similar Questions