Question

Question 7: Find dy/dx : sin2 y + cos xy = π

Class 12 - Math - Continuity and Differentiability

Answer 1

Differentiation of implicit functions
××××××××××××××
formula used :-
d/dx(cosx) = - sinx
d/dx(sinx) = cosx

Answer 2

★ DIFFERENTIATION ★

dy/dx of Sin 2y + Cos xy = π

2Sinx ( Cos xy dy/dx ) - Sinxy ( y + x dy/dx ) = 0

2Siny Cosy dy/dx = Sin xy ( y + x dy/ )

Sin 2y dy/dx = ySinxy + x Sin xy dy/dx

Hence , dy/dx = ySinxy / Sin2y - xSinxy

The same value of dy/dx Siny and dy/dx Cos y will be obtained if using logs on both the sides

★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★