datmathguy8980 datmathguy8980
  • 15-09-2018
  • Mathematics
contestada

(1 point) find an equation of the tangent line to the curve y=2−2x−3x2 at (1,−3).

Respuesta :

jimrgrant1 jimrgrant1
  • 15-09-2018

y = -8x + 5

To obtain the equation we require a point on it and it's slope.

the slope m = dy/dx at x = 1

dy/dx = -2-6x

x = 1 then dy/dx = -2 -6 = -8

equation of line in form y - b = m(x-a) with m = -8 and (a,b)=(1,-3)

y + 3 = -8(x-1)

y + 3 =-8x + 8

⇒ y = -8x +5 is the equation of the tangent



Answer Link

Otras preguntas

What was the goal of the United States in the space race? to successfully orbit Earth before the Soviets to successfully land on the moon before the Soviets to
List three positive developments in African society in recent years.
Find the measure of angle 1
Find the absolute maximum and absolute minimum values of the function f(x, y) = x 2 + y 2 − x 2 y + 7 on the set d = {(x, y) : |x| ≤ 1, |y| ≤ 1}
The diagram shows a sector of a circle with radius 15 cm.Calculate the perimeter of this sector.​
If f(x) = 2x + 3 and g(x) = x2 + 1,find f(g(3)).​
What number should be added to –2 to get a sum of 2?
Which detail would best support the theme "traveling can be dangerous"?
Because of its structure, the cell membrane is known as a phospholipid _____.A. moleculeB. barrierc. bilayerD. fluid​
A child's peer group consists of individuals who