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

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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

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