I need help figuring what the next question is asking me to find, any help would be really appreciated. Thanks (:
Let g be the function defined by g(x)=xf(x). Find an equation for the line tangent to the graph of g at x=.

Question

I need help figuring what the next question is asking me to find, any help would be really appreciated. Thanks (:
Let g be the function defined by g(x)=xf(x). Find an equation for the line tangent to the graph of g at x=.

anonymous · Answer

x=?

anonymous · Answer

@satellite73 how do I figure out what g is if I am only given the graph of f(x)?

anonymous · Answer

you are missing what x is

anonymous · Answer

all i see is at $x=.$

anonymous · Answer

we  need a number for x to do this

anonymous · Answer

look at your question
it is missing the value of x we need that number, then we can do it

anonymous · Answer

@satellite73  x=2. sorry I thought I'd typed it.

anonymous · Answer

$$g'(x)=xf'(x)+f(x)$$ by the chain rule so 
$$g'(2)=2f'(2)+f(2)$$ you should find $f(2)$ and $f'(2)$ from the picture

anonymous · Answer

ok so I just basically have to use the chain rule in order to find what my g equals, correct? and thank you @satellite73 also does this apply every time or just in some cases?