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

The Platt Amendment told what nation that it could not establish treaties with other nations? A. Spain B. Philippines C. Guam D. Cuba
what is the source of mold on bread
“Eighteen is equal to the product of a number (n) and 9.”
THE NICHOLS ARE BUYING A HOUSE SELLING FOR $245,000. THEY PAY A DOWN PAYMENT OF $45,000 FROM THE SALE OF THEIR CURRENT HOUSE. TO OBTAIN A 15- YEAR MORTGAGE AT
A bond has a par value of $1,000, a market price of $300, and a 9% coupon rate. It will mature in 5 years. What is the current yield of the bond?.
Magda utilizó una cuadrícula de 1 cm de lado para dibujar la figura sombreada, usando triángulos rectángulos.
What is the tenth term in the sequence 9, 13, 17, 21, 25…?
How do you apply force field analysis and brainstorming techniques to a complex business
what are the reasons behind the different rituals of different castes/ethnic groups ​
Total (10 marks) QUESTION TWO Amani Ltd. Manufacturers a single product. Currently, the company has eight employees who produce a total of 3,000 units of the pr