QwertyB
QwertyB QwertyB
  • 17-03-2024
  • Mathematics
contestada

Find the equation of the line tangent to y=e^5x at x=1/5 In 3

Respuesta :

beatriz37bs
beatriz37bs beatriz37bs
  • 17-03-2024

Answer:

y=15x-ln(27)+3

by-step explanation:

Find the corresponding y-value to x=1/5⋅ln(3).

y=3

Find the first derivative and evaluate at x=1/5ln(3) and y=3 to find the slope of the tangent line.

15

Plug the slope and point values into the point-slope formula and solve for y.

y=15x−ln(27)+3

Answer Link

Otras preguntas

Under the Capetians, the French a. regained territory from the English. b. joined forces with the Pope. c. became part of the Holy Roman Empire. d. united as on
which soil layer contains the most humus? A) A horizon B) B horizon C) C horizon D) D horizon
What is the purpose of the mantra during meditation? A. It lets everyone know you're meditating. B. It helps to release endorphins. C. It allows
38 + x = 32 x = ? I tired this but I keep getting 6! Thanks
what types of eukaryotic cells have vacuoles that act like lysosomes ?
The _______ allowed labor unions to participate in collective bargaining with business managers.
What are six steps necessary for appeal?
If the measure of angle one is "two-x minus nine" and the measure of angle two is "twenty seven minus four-x ", solve for x.
how was jrotc different 100 years ago
A short story writer decides to narrate in the first person. What is the term for