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

The equation C  (F  32) allows you to convert betweenCelsius and Fahrenheit temperatures. C is the temperature in degreesCelsius (°C) and F is the temperature i
In reaching her destination, a backpacker walks with an average velocity of 1.22 m/s, due west. This average velocity results because she hikes for 6.44 km with
I don't understand 6k-6k+8-12k
how to slove A=10,000(1+.08/2)*12
how could you test whether 7 is a factor of 291
Explain the 3 major steps in mercantilism.
Earl runs 75 meters in 30 seconds.How many meters does Earl run per second?
You bike for 2 hours at a speed no faster than 17.6 mph. Write an inequality that represents the possible number of miles you bike.
what factor is paired with 5 to give 45
16.1 is what percent of 70