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

In 10 minutes a heart can beat 700 times. At this rate in how many minutes will a heart beat 140 times? At what rate can a heart beat?
how long is the Great Wall of china
which is one way scientists indicate how precise and accurate their experimental measurements are? A. they keep accurate, honest records. B. they make sure thei
Which integer is less than –8? a. –6 b. 6 c. –10 d. 10
Which word phrases can be modeled by the expression? 4n + 5 Choose EXACTLY TWO answers that are correct. a. five added to the quotient of 4 and a number b. th
What is 4/5 in a decimal
Who believed that their god knew all things and could see present, past, and future? A. Egyptians B. Hebrews C. both
what is the difference between literary ballad and folk ballad?
Witch contains genetic material of an eukaryotic cell? nucleus or large central vacuole?
Which is an example of a subjunctive verb mood? A. Going outside in your bare feet could make you cold. B. Will you go away? C. If I make the basketball team,