Choose ALL the statements that are true for f(x)=12x-x3 a. The graph of f(x) is increasing...

Choose ALL the statements that are true for f(x)=12x-x³

a. The graph of f(x) is increasing on (-2,2)

b. f(x) has no inflection point

c. The graph of f(x) is concave downward on (- infinity,0)

d. The graph of f(x) is decreasing on (-2,2)

e. f(x) has an inflection point at x=0

f. The graph of f(x) is concave upward on (-infinity,0)

Expert Solution

milcah answered 1 year ago

Estimate the area between the graph of f(x) = x3 − 12x and the x-axis over...

Estimate the area between the graph of f(x) = x3 − 12x and the x-axis over the interval [−2, 1] using n = 6 rectangles and right endpoints. Draw thecorresponding rectangles as well.

Let f(x) = x3 − 2x2. Find the point(s) on the graph of f where the...

Let f(x) = x3 − 2x2. Find the point(s) on the graph of f where the tangent line is horizontal. (x, y) = 0 (smaller x-value) (x, y) = (larger x-value) B) A straight line perpendicular to and passing through the point of tangency of the tangent line is called the normal to the curve. Find an equation of the tangent line and the normal to the curve y = x3 - 3x + 1 at the point (3, 19)....

Find f 1)f”(x)=-2+12x-12x(Square), f’(0)=12 F(x)=? 2)Find a function f such that f’(x)=5x cube and the line...

Find f 1)f”(x)=-2+12x-12x(Square), f’(0)=12 F(x)=? 2)Find a function f such that f’(x)=5x cube and the line 5x+y=0 is the tangent to the graph of f F(x)=? 3)A particle is moving with the given data. Find the position of the particle a(t)=11sin(t)+4cos(t), s(0)=0, s(2pi)=16 s(t)=? (please i need help)

1. True or False: If we know that f(x) is increasing on an interval, then f...

1. True or False: If we know that f(x) is increasing on an interval, then f ''(x) should be positive on that interval. 2. True or False: If f '(x) is increasing on a certain interval, then f ''(x) is positive on that interval. 3. If f ''(x)<0 on a certain interval, which of the following must be true on that interval? (2 answers) A. f '(x) is decreasing B. f(x) is increasing C. f(x) is concave down D. f(x)...

For which values of x (if any) is f(x) = 2x3 + 3x2 – 12x –...

For which values of x (if any) is f(x) = 2x3 + 3x2 – 12x – 7 Increasing at an increasing rate?

Find f. f ''(x) = 4 − 12x, f(0) = 6, f(2) = 10

f ''(x) = −2 + 24x − 12x^2, f(0) = 7, f '(0) = 12

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3...

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 − 2x2 − 4x + 4, [−1, 3] absolute maximum (x, y) = absolute minimum (x, y) = 2. f(x) on the interval [a, b]. f(x) = x3 − 3x2 − 24x + 8, [−3, 5] absolute minimum (x, y) = absolute maximum (x, y) =

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3...

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 − 2x2 − 4x + 4, [−1, 3] absolute maximum (x, y) = absolute minimum (x, y) = 2. f(x) on the interval [a, b]. f(x) = x3 − 3x2 − 24x + 8, [−3, 5] absolute minimum (x, y) = absolute maximum (x, y) =

1. Find the critical numbers of the function f (x) = x^3− 12x in the interval...

1. Find the critical numbers of the function f (x) = x^3− 12x in the interval [0, 3]. Then find the absolute maximum and the absolute minimum of f(x) on the interval [0,3]. 2. Using only the limit definition of derivative, find the derivative of f(x) = x^2− 6x (do not use the formulas of derivatives).

Question

Choose ALL the statements that are true for f(x)=12x-x3 a. The graph of f(x) is increasing...

Solutions

Expert Solution

Related Solutions

Estimate the area between the graph of f(x) = x3 − 12x and the x-axis over...

Let f(x) = x3 − 2x2. Find the point(s) on the graph of f where the...

Find f 1)f”(x)=-2+12x-12x(Square), f’(0)=12 F(x)=? 2)Find a function f such that f’(x)=5x cube and the line...

1. True or False: If we know that f(x) is increasing on an interval, then f...

For which values of x (if any) is f(x) = 2x3 + 3x2 – 12x –...

Find f. f ''(x) = 4 − 12x, f(0) = 6, f(2) = 10

f ''(x) = −2 + 24x − 12x^2, f(0) = 7, f '(0) = 12

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3...

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3...

1. Find the critical numbers of the function f (x) = x^3− 12x in the interval...