AP CALCULUS AB Midterm Exam With Answers 2024
Find the Zeros - Answer>>f(x)=0
Find the equation of the line tangent to f(x) at (a,b) - Answer>>Get x and y.
Get the slope at x.
y-y1=m(x-x1)
Find the equation of the line normal to f(x) - Answer>>negative reciprocal.
Show that f(x) is even. - Answer>>f(x)=f(-x)
Show that f(x) is odd - Answer>>f(x)= -f(-x). YES. Thats right. Two negatives.
Find the interval where f(x) is increasing. - Answer>>f'(x)= +
Find the interval where the slope of f(x) is increasing. - Answer>>f''(x) = +
Find the minimum value of a function - Answer>>f' changes from - to +
Find the minimum slope of a function - Answer>>f'' changes from - to +. Find critical values. - Answer>>f'(x)= 0
Find inflection points - Answer>>f''(x) = 0
Show that limx->a exists. - Answer>>limit as it approachs a from the left and right are the same.
Show that f(x) is continous - Answer>>limit as it approaches a is the same from both sides.
Find vertical asymptotes of f(x) - Answer>>A number over zero.
Find the horizontal asymptotes of f(x) - Answer>>top, bottom, neutral heavy.
Find the average rate of change of f(x) on [a,b] - Answer>>Slope from a to b.
Find the instantaneous rate of change of f(x) at a - Answer>>derivative of f(x) and plug in a
Find the average value of f(x) on [a,b] - Answer>>Integrate
from a to b. And then divide by b-a. (The interval.)
Find the absolute maximum of f(x) on [a,b] - Answer>>Critical points. Make sure you look at critical points and end points.
Find the Zeros - Answer>>f(x)=0
Find the equation of the line tangent to f(x) at (a,b) - Answer>>Get x and y.
Get the slope at x.
y-y1=m(x-x1)
Find the equation of the line normal to f(x) - Answer>>negative reciprocal.
Show that f(x) is even. - Answer>>f(x)=f(-x)
Show that f(x) is odd - Answer>>f(x)= -f(-x). YES. Thats right. Two negatives.
Find the interval where f(x) is increasing. - Answer>>f'(x)= +
Find the interval where the slope of f(x) is increasing. - Answer>>f''(x) = +
Find the minimum value of a function - Answer>>f' changes from - to +
Find the minimum slope of a function - Answer>>f'' changes from - to +. Find critical values. - Answer>>f'(x)= 0
Find inflection points - Answer>>f''(x) = 0
Show that limx->a exists. - Answer>>limit as it approachs a from the left and right are the same.
Show that f(x) is continous - Answer>>limit as it approaches a is the same from both sides.
Find vertical asymptotes of f(x) - Answer>>A number over zero.
Find the horizontal asymptotes of f(x) - Answer>>top, bottom, neutral heavy.
Find the average rate of change of f(x) on [a,b] - Answer>>Slope from a to b.
Find the instantaneous rate of change of f(x) at a - Answer>>derivative of f(x) and plug in a
Find the average value of f(x) on [a,b] - Answer>>Integrate
from a to b. And then divide by b-a. (The interval.)
Find the absolute maximum of f(x) on [a,b] - Answer>>Critical points. Make sure you look at critical points and end points.
