Question

D/dx (sin^3 x) = d/dx (sinx sinx sinx) = ?

1. cos x sin^2x
2. 1+2 sin^2x cos x
3. 3 sin^2x cos x
4. 2 sinx cos x+sin^2x cos x
5. 2 cos x sin^2x+ sin x cos x

Answer 1

Explanation:

1)2*(Cos(x)^2*Sin(x))-Sin(x)^3

2)4*(Cos(x)^2*Sin(x))-2*Sin(x)^3

3)6*(Cos(x)^2*Sin(x))-3*Sin(x)^3

4)2*Cos(x)^2+2*(Cos(x)^2*Sin(x))-2*Sin(x)^2-Sin(x)^3

5)Cos(x)^2+4*(Cos(x)^2*Sin(x))-Sin(x)^2-2*Sin(x)^3