1) Find the derivative

and

.
2) The equation of the tangent line is

, so at point (2,6):

and


-the equation of the tangent line at point (2,6).
Answer:
The formula for calculate the distance (d) between two points is: Given the points (9,-12) and (6,3), you can identify: Substitute these coordinates into the formula to find the equation that correctly shows how to determine the distance between the given points (9,-12) and (6,3)
Step-by-step explanation:
A function, such is a mathematical collection of algebraic terms. Functions can be reflected across the x-axis by multiplying the entire function by -1. In this case multiplying the function by -1 leads to -4x/2. Hence the new function is -4x/2. Functions can also be reflected in the y-axis by replacing x with -x.
The x-intercept is the point where the graph cuts the x-axis, and the y-intercept is the point where the graph cuts the y-axis.
The x-axis is the line y = 0 and the y-axis is the line x = 0. To find the intercept between each axis and our graph, we just need to evaluate our function at x = 0 and y = 0.
Calculating the x-intercept, we have

The x-intercept is (8, 0).
Calculating the y-intercept, we have

The y-intercept is (0, -2).
2/12, 4/24, 3/18, 5/30 etc.