Question

find dy/dx for tan(x+y)=y

Answer 1

Use implicit differentiation.

Answer 2

but should i use the trig identity or not? or just solve with the sec^2(x+y) dy/dx?

Answer 3

Well You Would Have To Use Pythagoras Identity In The End,Show Me The Steps And I Will Explain You :)

Answer 4

@AJlaxgirl95

Answer 5

tan(x+y)=y
(tan(x)+tan(y))/(1-tan(x)tan(y))=y
((sec^2(x))+((sec^2(y)(dy/dx))/(-sec^2(x) sec^2(y)(dy/dx))
that's as far as i've gotten

Answer 6

If x = tan(x + y), then taking d/dx of both sides, we get:

dy/dx = sec^2(x + y)*(1 + dy/dx) (using the chain rule)

Answer 7

so i don't use the trig identity?

Answer 8

You Will Use And Identity In The End

Answer 9

but you solved what i had to solve already i just needed to find what dy/dx equals

Answer 10

wait nvm

Answer 11

No It Has Not Finished Yet LoL

Answer 12

i get it ^.^

Answer 13

Oh Good