I got the previous question I was trying to figure out related to this, but as soon as it included Trig I got lost!!! please help the question is:

Consider the equation below.
f(x) = 5 sin x + 5 cos x, 0 ≤ x ≤ 2π

A)(a) Find the interval on which f is increasing.
Find the interval on which f is decreasing.
increasing(0 , pi/4) , (5pi/4 , 7pi/4) ?
decreasing(pi/4 , 5pi/4) , (7pi/4 , 2pi)?

(b) Find the local minimum and maximum values of f.
(c) Find the inflection points
(x,y)=( , ) smaller x-value
(x,y)=( , ) larger x-value
Find the interval on which f is concave up/down

Question

I got the previous question I was trying to figure out related to this, but as soon as it included Trig I got lost!!! please help the question is:

Consider the equation below.
f(x) = 5 sin x + 5 cos x,    0 ≤ x ≤ 2π

A)(a) Find the interval on which f is increasing. 
Find the interval on which f is decreasing. 
 increasing(0 , pi/4) , (5pi/4 , 7pi/4) ?
decreasing(pi/4 , 5pi/4) , (7pi/4 , 2pi)?

(b) Find the local minimum and maximum values of f.
(c) Find the inflection points
(x,y)=( , ) smaller x-value
(x,y)=( , ) larger x-value
Find the interval on which f is concave up/down

anonymous · Answer

would min be 5pi/4 and max be pi/4?