Questions from General Calculus

Q: Sketch the following curves, indicating all relative extreme points and inflection

Sketch the following curves, indicating all relative extreme points and inflection points. y = x4 + 1/3 x3 - 2x2 - x + 1

Q: Sketch the following curves, indicating all relative extreme points and inflection

Sketch the following curves, indicating all relative extreme points and inflection points. y = 2x3 - 3x2 - 36x + 20

Q: Sketch the following curves, indicating all relative extreme points and inflection

Sketch the following curves, indicating all relative extreme points and inflection points. y = x4 – 4/3 x3

Q: Let a, b, c be fixed numbers with a ≠

Let a, b, c be fixed numbers with a ≠ 0, and let f (x) = ax2 + bx + c. Is it possible for the graph of f (x) to have an inflection point? Explain your answer.

Q: Differentiate. f (x) = (√x/

Differentiate. f (x) = (√x/2 + 1)3/2

Q: Let a, b, c, d be fixed numbers with

Let a, b, c, d be fixed numbers with a ≠ 0, and let f (x) = ax3 + bx2 + cx + d. Is it possible for the graph of f (x) to have more than one inflection point? Explain your answer.

Q: The graph of function has one relative extreme point. Find it

The graph of function has one relative extreme point. Find it (giving both x- and y-coordinates) and determine if it is a relative maximum or a relative minimum point. Do not include a sketch of the g...

Q: The graph of function has one relative extreme point. Find it

The graph of function has one relative extreme point. Find it (giving both x- and y-coordinates) and determine if it is a relative maximum or a relative minimum point. Do not include a sketch of the g...

Q: The graph of function has one relative extreme point. Find it

The graph of function has one relative extreme point. Find it (giving both x- and y-coordinates) and determine if it is a relative maximum or a relative minimum point. Do not include a sketch of the g...

Q: The graph of function has one relative extreme point. Find it

The graph of function has one relative extreme point. Find it (giving both x- and y-coordinates) and determine if it is a relative maximum or a relative minimum point. Do not include a sketch of the g...