Question

differntiate xsquare sinx +cos square x​

Answer 1

Given data : Differntiate : x² sin x + cos² x

Solution :

⟹ y = x² sinx + cos²x

Differentiate above equation with respect to x

⟹ dy/dx = d/dx (x² sinx + cos² x)

⟹ dy/dx = d/dx (x² sinx ) + d/dx (cos²x)

⟹ dy/dx = sinx d/dx x² + x² d/dx sinx - sin 2x

⟹ dy/dx = sinx (2x) - x² cosx - sin 2x