Question

Find an equation of the tangent line to the curve at the given point 2. TT xcos(2y) at. i ysin(2x)

Answer 1

We differentiate the function with respect to x . Then we write the equation of the tangent line of the given function at the given point.

Given equation Difiremata () with mes peet to x Y 'n 20 2L Ceskx) (2 y (xus p 2yusex)=Cos(a) - 2xsine)dy dx xP dy dx Sin22) 2Y 2X dy +vdu (Sin (2)-2 (2 (E) Sin(2 2Sin (2()) Sin)42nSin2) dy 3) 4 > (En) --Sin y dy TTCos (T Sin TI O at t point tomgent Zi'ne Themfo eaunhun of a TT