Finding the slope of a tangent line at a point

Asked by admin @ 28/10/2021 in Mathematics viewed by 282 People

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

Answered by admin @ 28/10/2021

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

Find the equation of the tangent line at the point

Asked by admin @ 11/11/2021 in Mathematics viewed by 293 persons

What is the equation of the tangent line passing through the point (0, 3) of the graph of the function f(x) = x2 − 2x + 3?

How to find the point slope equation of a line

Asked by admin @ 29/10/2021 in Mathematics viewed by 290 persons

Find the point-slope equation for the line that passes through the points (5, 19) and (-5, -1). Use the first point in your equation. please help :/ y- [?]=[?](x-[?])

Find the equation of a line given slope and point

Asked by admin @ 09/11/2021 in Mathematics viewed by 349 persons

Point Slope Formula POS Write the equation of a line given two points. (1.3) and (-3,-5) First, find the slope between the two lines and enter that answer below. Remember …

Find the equation of a line given point and slope

Asked by admin @ 09/11/2021 in Mathematics viewed by 354 persons

Point Slope Formula POS Write the equation of a line given two points. (1.3) and (-3,-5) First, find the slope between the two lines and enter that answer below. Remember …

Find equation of a line given slope and a point

Asked by admin @ 07/11/2021 in Mathematics viewed by 349 persons

Point Slope Formula POS Write the equation of a line given two points. (1.3) and (-3,-5) First, find the slope between the two lines and enter that answer below. Remember …

Find the slope of the line containing the given points

Asked by admin @ 07/11/2021 in Mathematics viewed by 357 persons

Find the slope of the line that contains the following pairs of points (2,4) (0,8)

Find the slope of the line through each pair points

Asked by admin @ 01/12/2021 in Mathematics viewed by 421 persons

Find the slope of the line through each pair (1,-19),(-2,-7)

Find the slope of a line passing through 2 points

Asked by admin @ 05/11/2021 in Mathematics viewed by 294 persons

Which is the slope of the line that passes through the points (−3,1) and (4,−2)? Slope = -3 Slope = 1/2 Slope = -3/7 Slope = -7/3

Find the slope of a line passing through two points

Asked by admin @ 29/10/2021 in Mathematics viewed by 356 persons

Find the slope of the line that passes through the points shown in the table. The slope of the line that passes through the points in the table is what?

Find the slope of the line if it is defined

Asked by admin @ 09/11/2021 in Mathematics viewed by 335 persons

Calculate the slope m, if defined, of the straight line through the given pair of points. Try to do the problem without writing anything down except the answer. (If an …

How to find reflection of a point about a line

Asked by admin @ 09/11/2021 in Mathematics viewed by 339 persons

The point is the reflection of the point (- 7, 5) in the line 5x - 3y = 18 . Find the coordinates of P.

How to find equation of a line with two points

Asked by admin @ 29/10/2021 in Mathematics viewed by 300 persons

How is the two point formula used to find the equation of a line when 2 points are known? a. taking the change in y over the change in x …

Using two points to find the equation of a line

Asked by admin @ 28/10/2021 in Mathematics viewed by 318 persons

Writing Linear Equations Instruction Active Writing an Equation Given Two Points on the Line Write the equation of the line that passes through the points (7,-4) and (-1,3), first in …