Question

What is the derivative of `y = 5x ^ { 3} + 15x ^ { 2} - 45x - 7`?

Answer 1

`dy/dx=15x^2+30x-45`

Explanation:

Use the power rule for all the values with x:

`dy/dx=(5xx3)x^2+(15xx2)x -45`

The 7 disappears because it's a constant. Now clean it up:

`dy/dx=15x^2+30x-45`