Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find the following. (Enter your answers using interval notation. Round your answers to two decimal places.)
f(x) = 7 sin x + cot x, −π ≤ x ≤ π
Find the interval of increase.

Incorrect: Your answer is incorrect.

Find the interval of decrease.

Find the inflection points of the function.
(x, y) =

(smaller x-value)
(x, y) =

(larger x-value)

Find the interval where the function is concave up.

Find the interval where the function is concave

Question

Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find the following. (Enter your answers using interval notation. Round your answers to two decimal places.)
f(x) = 7 sin x + cot x,    −π ≤ x ≤ π
Find the interval of increase.
  
Incorrect: Your answer is incorrect.
 

Find the interval of decrease.
 

Find the inflection points of the function.
(x, y)	 = 	

   

    (smaller x-value)
(x, y)	 = 	

   

    (larger x-value)


Find the interval where the function is concave up.
 

Find the interval where the function is concave

zepdrix · Answer

Hey there :)
Welcome to OpenStudy!

$\large\rm f(x)=7sin x+cot x,\qquad\qquad\qquad x\in[-\pi,\pi]$

zepdrix · Answer

Our function is `increasing` when $\large\rm f'(x)>0$.
Were you able to find a derivative function?
$\large\rm f'(x)=?$

pippins2 · Answer

$$7cosx-\csc^2x$$