Question

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
y sin12x = x cos2y, (π/2, π/4)

Answer 1

hint: product rule and chain rules would be needed.

Answer 2

what do you get? I got 3pi(x-pi/2) -3pi ( y-pi/4). don't know it 's right or wrong

Answer 3

\[
(y)(12\cos(12x))+\sin(12x){dy\over dx}=(x)(-2\sin(2y)){dy\over dx}+\cos(2y)
\]