Question

Differentiation of sin(x+3)

Answer 1

Differentiation of sin(x+3)

y = sin(x+3)

dy/dx = cos(x+3) (1 +0)

dy/dx = cos(x+3)

Answer 2

Points to be noted: (with respect to x)

1. derivative of sinx is cosx
2. derivation of variable like x with respect to the same variable is 1                        {derivative of xⁿ is  xⁿ⁻¹}
3. derivation of constant is 0


Now, the problem to be solved is to derivate Sin(x+3) 
By applying above points, we get

d/dx Sin(x+3) = Cos(x+3).1 = Cos(x+3)