Consider the function f(x)=2x^3-9x^2+4, over the interval [-1,5] a.Find the local maximum and minimum. b.Find the...

Consider the function f(x)=2x^3-9x^2+4, over the interval [-1,5]

a.Find the local maximum and minimum.

b.Find the absolute maximum and minimum.

Expert Solution

In this question using first derivative I have find the local minimum and local maximum and then find the absolute maximum and minimum. Hope you understand the solution.

Please like

milcah answered 2 years ago

Q.3 Consider the function f(x) = x^2– 2x + 4 on the interval [-2, 2] with...

Q.3 Consider the function f(x) = x^2– 2x + 4 on the interval [-2, 2] with h = 0.25. Write the MATLAB function file to find the first derivatives in the entire interval by all three methods i.e., forward, backward, and centered finite difference approximations.

Using Matlab, consider the function f(x) = x^3 – 2x + 4 on the interval [-2,...

Using Matlab, consider the function f(x) = x^3 – 2x + 4 on the interval [-2, 2] with h = 0.25. Write the MATLAB function file to find the first derivatives in the entire interval by all three methods i.e., forward, backward, and centered finite difference approximations. Could you please add the copiable Matlab code and the associated screenshots? Thank you!

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?

Find the equation of the osculating circle at the local minimum of f(x)=4x^3−9x^2+(15/4)x−7.

Find the absolute maximum and absolute minimum values of f(x) = cos(2x)+2 sin(x) in the interval...

Find the absolute maximum and absolute minimum values of f(x) = cos(2x)+2 sin(x) in the interval [0; pi]

Find the absolute minimum of the function f(x) = 2x^6 - 3x^4 on the interval. (negative...

Find the absolute minimum of the function f(x) = 2x^6 - 3x^4 on the interval. (negative Infiniti, positive Infiniti)thank you

Find the absolute maximum and minimum values of the function f(x, y) = x^2 + ((4/3)...

Find the absolute maximum and minimum values of the function f(x, y) = x^2 + ((4/3) y^3) − 1 on the disk x^2 + y^2 ≤ 1.

Let f(x) = (x2 + 8) / 2x a) Find all local minimum and local maximum...

Let f(x) = (x2 + 8) / 2x a) Find all local minimum and local maximum values of f. b) Find all intervals on which f is concave up/concave down. Does f have any infection points?

1-Find the relative maximum and minimum for the function, 1/3*x^3-9x+2 2-Determine the intervals on which the...

1-Find the relative maximum and minimum for the function, 1/3*x^3-9x+2 2-Determine the intervals on which the function f(x)=1+2x+8/x 3- Identify the critical number of f(x)=x^2-5x+6 on interval [-2,2] 4- Identify the intervals where the function, f(x)=2x^3-24x+2 5- ln(sin^2x) find f'(x)

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...

Question