Q: Sketch the following curves. y = x3 - 6x2 -
Sketch the following curves. y = x3 - 6x2 - 15x + 50
See AnswerQ: Sketch the following curves. y = x/5 +
Sketch the following curves. y = x/5 + 20/x + 3 (x > 0)
See AnswerQ: Sketch the following curves. y = 1/2x +
Sketch the following curves. y = 1/2x + 2x + 1 (x > 0)
See AnswerQ: The tangent line to the curve y = 1/3 x3
The tangent line to the curve y = 1/3 x3 - 4x2 + 18x + 22 is parallel to the line 6x - 2y = 1 at two points on the curve. Find the two points.
See AnswerQ: Let f (x) = (x2 + 2)3
Let f (x) = (x2 + 2)3/2. Show that the graph of f (x) has a possible relative extreme point at x = 0.
See AnswerQ: Show that the function f (x) = (2x2 +
Show that the function f (x) = (2x2 + 3) 3/2 is decreasing for x < 0 and increasing for x > 0.
See AnswerQ: Let f (x) be a function whose derivative is
Let f (x) be a function whose derivative is f ‘(x) = 1/(1 + x2). Note that f ‘(x) is always positive. Show that the graph of f (x) has an inflection point at x = 0.
See AnswerQ: Let f (x) be a function whose derivative is
Let f (x) be a function whose derivative is f ‘(x) = √(5x2 + 1). Show that the graph of f (x) has an inflection point at x = 0.
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