Exercise 4: Find all local extrema for f ? = sin^2 ? + cos ? on...

Exercise 4: Find all local extrema for f ? = sin^2 ? + cos ? on the interval [− ?/ 2 , ?/ 2 ]. Verify your answer by graphing.

Expert Solution

milcah answered 2 years ago

Find the coordinates of all local extrema and inflections of y = x − 4√x. Give...

Find the coordinates of all local extrema and inflections of y = x − 4√x. Give the intervals where the function is increasing, decreasing, concave up, and concave down.

f (x) = -0.248226cos (2 x) - 0.0184829cos ((2+2)x) - 0.0594608cos(x)sin(x) + 0.123626*sin ((2+2)x). The intervall...

f (x) = -0.248226*cos (2 x) - 0.0184829*cos ((2+2)x) - 0.0594608*cos(x)*sin(x) + 0.123626*sin ((2+2)x). The intervall is ]0, 3/2[ What is the local maximum and local minimum? Answer with 5 decimals

f(x) = 10/cos-1(x). Use calculus to determine: a) all critical values b) any local extrema c)...

f(x) = 10/cos-1(x). Use calculus to determine: a) all critical values b) any local extrema c) any absolute extrema d) the intervals where f is increasing/decreasing e) any points of inflection rounded to the thousandths place f) intervals where f is concave up/down No interval was specified so I assumed 0<x<2pi also I didn't get any concavity not sure if I'm right or not. I got x= pi as the critical value as well as the relative and absolute minimum...

Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2 + (cos(x))^2 (a) Find...

Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2 + (cos(x))^2 (a) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Apply the First Derivative Test to identify the relative extrema. relative maximum (x, y) = relative minimum (x, y) =

Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 2 (a) Find...

Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 2 (a) Find the open interval(s) on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing ( ) decreasing ( ) (b) Apply the First Derivative Test to identify all relative extrema. relative maxima (x, y) = (smaller x-value) (x, y) = ( ) (larger x-value) relative minima (x, y) = (smaller x-value) (x, y) = ...

1) Find the critical numbers of the function. f(θ) = 16 cos θ + 8 sin^2 θ

1) Find the critical numbers of the function. f(θ) = 16 cos θ + 8 sin^2 θ θ=? 2) Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x/(x^2 − x + 9), [0, 9] 3) f(x) = 3x3 + 4x2 + 7x + 5, a = 5 (f −1)'(a) = ?

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 and classify the local extrema of the function f(x,y) = (x^3)y+12(x^2)+16(y^2).

Find the local extrema of the following function. f(x,y)=108+7xy-5x2-6y2

For the given function determine the following: f (x) = (sin x + cos x) 2...

For the given function determine the following: f (x) = (sin x + cos x) 2 ; [−π,π] a) Find the intervals where f(x) is increasing, and decreasing b) Find the intervals where f(x) is concave up, and concave down c) Find the x-coordinate of all inflection points

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