Question

Find the slope of the tangent line to the graph of y=x+cos(xy) at x=0

Answer 1

Can u find the derivative of the above expression?

Answer 2

yes? 1-siny?

Answer 3

nope

Answer 4

It is\[\frac{ dy }{ dx }=1-\sin(xy)(y+x \frac{ dy }{ dx })\]

Answer 5

Did you get it?

Answer 6

oh I see! the chain rule?

Answer 7

yep

Answer 8

thank you!

Answer 9

Ok what is the slope then?

Answer 10

-1?

Answer 11

Nope it is 1

Answer 12

why?

Answer 13

Insert 0 for x and 1 for y

Answer 14

ohh
okay
I see thank you!