f(x) = 15x^4-3x^5 / 256. f'(x) = 60x^3 - 15x^4 / 256 f''(x) = 45x^2 -...

f(x) = 15x^4-3x^5 / 256. f'(x) = 60x^3 - 15x^4 / 256 f''(x) = 45x^2 - 15x^3 / 64

Find the horizontal and vertical asymptotes

Find the local minimum and maximum points of f(x)

Find all inflection points of f(x)

Expert Solution

milcah answered 2 years ago

find f'(x) 1. f(x)=3sinx-secx+5 ___ 2. f(x)=e^xcot(3x) _ 3. f(x)= cos^5(3x-1) _____

find f'(x) 1. f(x)=3sinx-secx+5 _______ 2. f(x)=e^xcot(3x) _______ 3. f(x)= cos^5(3x-1) _______

Consider f(x) = 2 + 3x^2 − x^3

Consider f(x) = 2 + 3x2 − x3 a) Find local max and min values b) Find intervals of concavity and infection points

Let f (x) = 12x^5 + 15x^4 − 40x^3 + 1, defined on R. (a) Find...

Let f (x) = 12x^5 + 15x^4 − 40x^3 + 1, defined on R. (a) Find the intervals where f is increasing, and decreasing. (b) Find the intervals where f is concave up, and concave down. (c) Find the local maxima, the local minima, and the inflection points. (d) Find the Maximum and Minimum Absolute of f over [−2, 2].

f(x)= 1/3x^3 + 5/2x^2 - 6x + 4; [-9,3] The absolute maximum value is ____ at...

f(x)= 1/3x^3 + 5/2x^2 - 6x + 4; [-9,3] The absolute maximum value is ____ at x = ___ (Use comma to separate answers as needed. Round to two decimal places as needed) The absolute minimum value is ____ at x = ___ (Use comma to separate answers as needed. Round to two decimal places as needed)

Suppose f is defined by f(x)=3x/(4+x^2), −1≤x<3. What is the domain of f? Find the intervals...

Suppose f is defined by f(x)=3x/(4+x^2), −1≤x<3. What is the domain of f? Find the intervals where f is positive and where f is negative. Does f have any horizontal or vertical asymptotes. If so, find them, and show your supporting calculations. If not, briefly explain why not. Compute f′ and use it to determine the intervals where f is increasing and the intervals where f is decreasing. Find the coordinates of the local extrema of f Make a rough...

Show that f(x) = x^4+x^3+3x^2+7x−8 is irreducible over Z.

consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum...

consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum values. Justify your answer using the first or second derivative test . round your answers to the nearest tenth as needed. b)find the intervals of concavity and any inflection points of f. Round to the nearest tenth as needed. c)graph f(x) and label each important part (domain, x- and y- intercepts, VA/HA, CN, Increasing/decreasing, local min/max values, intervals of concavity/ inflection points of f?

f(x)= 9x^4-2x^3-36x^2+8x/3x^3+x^2-14 -Factor the numerator and denominator of f(x) completely. -Write the domain of f(x) in...

f(x)= 9x^4-2x^3-36x^2+8x/3x^3+x^2-14 -Factor the numerator and denominator of f(x) completely. -Write the domain of f(x) in interval notation. -Locate all hole(s), if any, and write them in the form of coordinate pairs. -Locate all vertical asymptote(s), if any, and give their equations in the form x = c. For each one, describe what happens to f(x) as x approaches c from the left(-), and as x approaches c from the right (+). -Locate the horizontal/slant asymptote, if any, and give...

The absolute maximum values of f(x)=x^3-3x^2+12 on the closed interval [−2, 4] occurs at x =

For the function f(x)=x^4-3x^3+x^2+4x+21 Use long division to determine whether x+3 is a factor of f(x)....

For the function f(x)=x^4-3x^3+x^2+4x+21 Use long division to determine whether x+3 is a factor of f(x). Is x+3 a factor of f(x)?

Question