12x+y+ + 36xy3 – 18xºy

Graph y=12x. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... The slope-intercept form is , where is the slope and is the y-intercept. Find the values of and using the form . The slope of the line is the value of , and the y-intercept is the value of .

Step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.