Question

Find the equation of the tangent line x^4 + xy + y^4 3 at (1,1)

Answer 1

rewrite the equation clearly please.

Answer 2

\[x ^{4}+xy+y ^{4}=3 \] at (1,1)

Answer 3

the answer is f(x)=-1

Answer 4

Can you elaborate more on the steps you took if you don't mind?

Answer 5

Ok give me 5 min. i will explain. Do you know what does derivative mean? in geometric view?

Answer 6

I know \[y-y _{1}=m(x-x _{1})\] is used right? I have a problem finding the slope.

Answer 7

wait i think i made a mistake. -1 is just the slope.

Answer 8

can you solve other part of the problem if i explain how i found the slope?

Answer 9

there i attached it. take a look

Answer 10

now that you know the slope you can use the formula you wrote below. :)

Answer 11

anything wrong?

Answer 12

y-1=(-1)(x-1)=>y-1=1-x => y=2-x
thats what ur looking for i guess.

Answer 13

Just comparing it to what I have.

Answer 14

so after you get 5yprime + 5 = 0. how does yprime then become -1?

Answer 15

5 y '+5=0 => 5y'=-5 => divide both side by 5 and you will get y'=-1

Answer 16

Gotcha :)

Answer 17

very good :)

Answer 18

Ok man, I figured it out now. Thanks a lot!!!

Answer 19

Your welcome. :)