Question

If cos(x+y) = y cosx. then dy/dx
equals .​

Answer 1

Answer:

If cos(x+y) = y cosx. then dy/dx

equals .

Step-by-step explanation:

(cos x)

y

=(cos y)

x

Taking log on both sides, ylncos x=xlncos y

Differentiating both sides w.r.t x, we get

dx

dy

×lncos x+y×

cos x

−sin x

=lncos y+x×

cos y

−sin y

×

dx

dy

∴

dx

dy

=

lncos x+xtan y

lncos y+ytan x