mleddings75251 mleddings75251
  • 11-11-2017
  • Mathematics
contestada

Find the slope of the tangent line to the exponential function at the point (0,1) y=e^x/3

Respuesta :

barnuts
barnuts barnuts
  • 21-11-2017

The slope of a function is simply equal to its first derivative. So let us first take the 1st derivative of the equation:

y = e^(x / 3)

dy / dx = e^(x / 3) (1 / 3)

At x = 0:

dy / dx = slope = e ^(0) (1/3)

slope = 1/3

Answer Link

Otras preguntas

What is the theme of “Fire and Ice” by Robert Frost? " Some say the world will end in fire, Some say in ice. From what I’ve tasted of desire I hold with those
The “brain” of the cell is located in the
Consider the rectangular prism with length 4 cm, width 9 cm, and height 16 cm. If one of the dimensions is doubled what will happen to the volume? Justify your
When a figure is dilated, the corresponding angles created are always 1.congruent 2.similar 3.enlarged 4.reduced
Please explain why the answer is "straighten it" rather than "straighten them." "If I notice any merchandise out of place, I straighten it up."
list the steps in meiosis 1 in order and meiosis 2 in order
Formula for finding volume of a pentagonal prism
Write the ions present in a solution of na2co3. express your answers as chemical formulas separated by a comma. offset subscripts and charges on each ion.
finish the sentence. During the 19th century, Charles Dickens ______ one of the most famous British novelists. has become became becomes had become would becam
Finish the sentence For all ______, the test is over. intensive porpoises intents and purposes intensive purposes