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

How does the sun affect evaporation? Question 2 options: The sun heats the ice in clouds to form rain or snow. The sun breaks the bonds that hold liquid water's
What is 1800/100 using long division
Which statement would least likely be used to describe variation? Variations are inherited differences between individuals of the same species. Variations that
Find the percent in the fastest way. 66 2/3% of 240 kg
Determine the distance between the two points using the Pythagorean theorem.
Prior to the 1996 NEC, ____ receptacles and cords were permitted. However, now it is mandatory that a separate equipment grounding conductor be installed to gro
Which physical feature is located at 40 north, 110 west?
A phone originally priced at $40 is discounted and now sells for $30. What is the percent of discount?
I need help with number 6.
which parts of the body act as lever?