Question
Asked Oct 6, 2019

find the implicit formula of sinxy=x+y

check_circleExpert Solution
Step 1

Given,

sin(xy)
= x + y
help_outline

Image Transcriptionclose

sin(xy) = x + y

fullscreen
Step 2

Differentiating on both side wi...

d sin(xy)
d(x y)
dx
dx
dy)
d(x)
d (ху)
cos (xy)
dx
dx
dx
d(y)
dy
1 +
dx
d(x)
cos(xy) y dx
x
dx
dy
dy
= 1 +
dx
olу
cos(xy) y x-
dx
dy
1 +
dx
dy
у cos (ху) + x соs (ху)
dx
dy
dy
х cos(ху) —у сos(ху) — 1
dx
dy
(1— х сos(ху)) %3 усos(ху) — 1
dx
у cos (ху) — 1
1 — х cos(ху)
dy
dx
help_outline

Image Transcriptionclose

d sin(xy) d(x y) dx dx dy) d(x) d (ху) cos (xy) dx dx dx d(y) dy 1 + dx d(x) cos(xy) y dx x dx dy dy = 1 + dx olу cos(xy) y x- dx dy 1 + dx dy у cos (ху) + x соs (ху) dx dy dy х cos(ху) —у сos(ху) — 1 dx dy (1— х сos(ху)) %3 усos(ху) — 1 dx у cos (ху) — 1 1 — х cos(ху) dy dx

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Calculus

Derivative