If f '(2) = 3.1 and g '(2) = 7.3, then the graph of f(x) + g(x) has slope 10.4 at x = 2

Question

anonymous · Answer

yes
is that the question?

jim_thompson5910 · Answer

h(x) = f(x) + g(x) 

h'(x) = f'(x) + g'(x) 

h'(2) = f'(2) + g'(2) 

h'(2) = 3.1 + 7.3 

h'(2) = 10.4

anonymous · Answer

what about this one? also true or false question If y satisfies the equation y2 + xy − 1 = 0, then
dy
dx
exists everywhere.

jim_thompson5910 · Answer

what did you get

jim_thompson5910 · Answer

a graph will be really handy since you can visually confirm or deny the statement

anonymous · Answer

no, that is all the information given...

jim_thompson5910 · Answer

I know, but you can still graph it

jim_thompson5910 · Answer

here's what the graph looks like

jim_thompson5910 · Answer

notice how it's continuous on each branch

jim_thompson5910 · Answer

and how there aren't any sharp corners or cusps

anonymous · Answer

did you use a calculator to graph it and if so how do you graph an equation with two variables in it?

jim_thompson5910 · Answer

well you would have to solve for y first if you were to do it on a graphing calculator

I used geogebra to graph it (since it can handle implicit plots)

anonymous · Answer

thank you

jim_thompson5910 · Answer

yw