PROPERTIES OF THE DERIVATIVE

1. dc/dx = 0; where c is any constant

2. dx/dx = 1

3. d( u + v +…+ w )/dx = du/dx + dv/dx + …+dw/dx

4. d(cu)/dx = c du/dx

5. d(uv)/dx = u dv/dx + v du/dx

6. d(u/v)/dx = (v du/dx - u dv/dx)/v2

7. d(xm)/dx = m xm-1

8. d(um)/dx = m um-1 du/dx

3 & 4 establish d/dx as a LINEAR OPERATOR

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