f ' (x)= x sin x
Consider the function f on the interval [0,2pi]. On what part of that inerval is f decreasing? Note: the question is about f, you were given the formulafor ther derivative of f.
Also, what is the second erivative of function f? f '' =?

Question

f ' (x)= x sin x
Consider the function f on the interval [0,2pi]. On what part of that inerval is f decreasing? Note: the question is about f, you were given the formulafor ther derivative of f.
Also, what is the second erivative of function f? f '' =?

anonymous · Answer

f is decreasing when f' is less than zero.

anonymous · Answer

on what intervals would this be? how would it look written out?

anonymous · Answer

also, what is the second derivative?

anonymous · Answer

We'll get to that, first things first.

anonymous · Answer

So we want to know for what x we have x sin(x)<0

anonymous · Answer

yes

anonymous · Answer

Let's solve the equation first. x sin(x)=0

x=0 V x=pi V x=2pi

right?

anonymous · Answer

Now let's make a graph:
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