Solve any maths problem

Step by step

1. \frac{d}{dy}\left[x^{3} - 3 x y^{2}\right]

   Differentiate 2 times, one derivative at a time.

2. \frac{d}{d y} x^{3} + \frac{\partial}{\partial y} \left(- 3 x y^{2}\right)

   Sum rule: differentiate term by term.

3. \frac{\partial}{\partial y} \left(- 3 x y^{2}\right)

   The derivative of a constant is 0.

4. - 3 x \frac{d}{d y} y^{2}

   Constant multiple rule: pull the constant out.

5. - 6 x y

   Power rule: (xⁿ)′ = n·xⁿ⁻¹ with n = 2.

6. f^{(1)}(y) = - 6 x y

   That is derivative number 1.

7. - 6 x \frac{d}{d y} y

   Constant multiple rule: pull the constant out.

8. - 6 x

   d/dx of x is 1.

9. f^{(2)}(y) = - 6 x

   That is derivative number 2.