betzabeth8
betzabeth8 betzabeth8
  • 02-03-2017
  • Mathematics
contestada

Find an equation of the tangent line to the curve at the given point.
y = 4e^x + x, (0, 4)

Respuesta :

LammettHash
LammettHash LammettHash
  • 02-03-2017
[tex]y=4e^x+x\implies y'=4e^x+1[/tex]

At the point (0,1), the derivative has the value of [tex]y'=4e^0+1=5[/tex], so this is the slope of the tangent line. The equation for the line is then

[tex]y-4=5(x-0)\implies y=5x+4[/tex]
Answer Link

Otras preguntas

luisa has 183 pennies. hert dad gives her 128 more write a number sentence to show many pennies luisa has now
does anybody know how to write 45/70 in simplest form????
solve for x₁ and x₂6x₁+3x₂=606x₁-2x₂=80
reason for adopting democracy in Libya,Egypt,Nepal and Bhutan?
what is a prefix for marine
what is a prefix for marine
WHAT IS 123456567890*1423 THAT MEANS TO DIVIED PLEASE TELL ME THE ANSWER
What Should I Know About Nigeria?
Find the explicit formula that produces the given sequence. 3/2, 3/4, 3/8, 3/16,...
What is the next number of the pattern. 2 7 26 101 400