Questions from General Calculus

Q: Find the absolute maximum and absolute minimum values of f on the

Find the absolute maximum and absolute minimum values of f on the given interval.

Q: (a). Find the vertical and horizontal asymptotes. (

(a). Find the vertical and horizontal asymptotes. (b). Find the intervals of increase or decrease. (c). Find the local maximum and minimum values. (d). Find the intervals of concavity and the inflecti...

Q: Use the graph of f to estimate the values of that satisfy

Use the graph of f to estimate the values of that satisfy the conclusion of the Mean Value Theorem for the interval [0, 8].

Q: Find the absolute maximum and absolute minimum values of f on the

Find the absolute maximum and absolute minimum values of f on the given interval.

Q: Sketch the graph of f by hand and use your sketch to

Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Use the graphs and transformations of Sections 1.2 and 1.3.)

Q: Use the given graph of to find the following.

Use the given graph of to find the following. (a). The open intervals on which f is concave upward (b). The open intervals on which f is concave downward (c). The coordinates of the points of inflec...

Q: Suppose you are given a formula for a function f.

Suppose you are given a formula for a function f. (a). How do you determine where f is increasing or decreasing? (b). How do you determine where the graph of f is concave upward or concave downward? (...

Q: (a). State the First Derivative Test. (b

(a). State the First Derivative Test. (b). State the Second Derivative Test. Under what circumstances is it inconclusive? What do you do if it fails?

Q: (a). Find the intervals on which f is increasing or

(a). Find the intervals on which f is increasing or decreasing. (b). Find the local maximum and minimum values of f. (c). Find the intervals of concavity and the inflection points. f (x) = e2x + e-x

Q: h (x) = x5 - 2x3 + x (

h (x) = x5 - 2x3 + x (a). Find the intervals of increase or decrease. (b). Find the local maximum and minimum values. (c). Find the intervals of concavity and the inflection points. (d). Use the infor...