Differentiate w.r.t. x the function
sin3 x + cos6 x
Let y = sin3 x + cos6 x
Differentiating both sides with respect to x
∴ 
∵ 
]
= 3 sin2 x × cos x + 6 cos5 x × ( – sin x)
= 3 sinx cosx (sinx– 2 cos4 x)
∴ 
= 3 sinx cosx (sinx– 2 cos4 x)
3
Differentiate w.r.t. x the function
sin3 x + cos6 x
Let y = sin3 x + cos6 x
Differentiating both sides with respect to x
∴ ∵ ]
= 3 sin2 x × cos x + 6 cos5 x × ( – sin x)
= 3 sinx cosx (sinx– 2 cos4 x)
∴ = 3 sinx cosx (sinx– 2 cos4 x)