baughTea9rahannaJa9v baughTea9rahannaJa9v
  • 24-11-2016
  • Mathematics
contestada

find line tangent to y=xcosx at point (pi, -pi)

Respuesta :

Edufirst
Edufirst Edufirst
  • 26-11-2016
1) slope of the line = derivative of the of the function at the given point.

y' = cosx - x cosx

Evaluate for x = pi => y' = cos(pi) - pi*cos(pi) = -1 - (pi*cos(pi)) = -1 + pi

Then slope = -1 + pi

Given point: (pi, -pi)

Equation:

y - (-pi) = [-1+ pi] (x - pi)

y + pi = -x +pi + xpi -pi^2

y = (pi-1)x - pi^2      .... this is the answer
Answer Link

Otras preguntas

How do you say "a lie" in Spanish?
Find (f•f)(3) f(x)=x^-x
the two strands of a dna double helix are held together by:
A dance can be performed to which type of music? (gymnastics) A. Alternative music B. Any type of music C. Only instrumentals D. Popular music​
angle at centre is 108 degree and the area is 4620cm find the radius​
Answer these questions
Which approach is best when refusing to ride with an impaired driver? A. Apologizing for not going B. Explaining why you shouldn't C. Saying you wish you could
this is not giving me the anwers
What is the coefficient of the first term in 9r + 1
Find the value of x if the given triangle is equilateral. x = [a] degrees 5x