meganjoysly
meganjoysly meganjoysly
  • 14-03-2017
  • Mathematics
contestada

Find the equation of the tangent line to the curve y=6sinx at the point (π/6,3

Respuesta :

ghanami
ghanami ghanami
  • 19-03-2017
Hello:
f(x) =6sin(x)
f'(x) = 6 cos(x)

the equation of the tangent line is : y=f'(π/6)(x-π/6)+f(π/6)
f'(
π/6)=6cos(π/6)=6×(√3/2)=3√3
f(
π/6) =3
the equation is :  y = 3√3(x-π/6)+3
Answer Link

Otras preguntas

text about lebanon's drinking water​
Microsoft word is ____ software. (A) Application (B) Compiler (C) System (D) Programming
Whats the area of a parallelogram with a hight of 4cm and a base of 16cm
The efficiency of the given pulley is 75%. Calculate the amount of effort required to lift a load of 300N in that pulley system. ​
Name any two types of mixture which can be separated by centrifuging method. for class six​
8sin2θ+2sinθ−1=0 for all values of θ between 0∘ and 360∘.​
II.Setting up of an equation for each of the following. 1. Dimple's age is Twices of twinkle's age. Double the sum of their ages is 6. 2. The sum of three conse
Name any two types of mixture which can be separated by centrifuging method. for class six​
PLEASE HELP Will the answer be A) or D) there is confusion. I think it is D but it might be A because the figure has 1 hexagon, 2 pentagons, 2 squares and in th
Imagine (0) aren’t any mobile phones or computers, and your house (1) internet. It’s the perfect holiday! Our computer doesn’t (2) help us relax. It (3) us