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Rules/Formulas for Differentiation

 

 

 

 

         

 

1) d(cu)/dx = c du/dx where c is a constant

   

2) d(u+v)/dx = du/dx + dv/dx

   

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

   

4) d(u/v)/dx = (vdu/dx - udv/dx) / v2

   

5) d(u(v))/dx = (du/dv)•(dv/dx)

   

6) d(uv)/dx = uv((v/u)(du/dx) + ln u (dv/dx))

   

7) dx/dy = 1 / dy/dx

   

8) d2x/dy2 = -d2y/dx2 (dy/dx))-3

   

9) d(sin z)/dz = cos z

   

10) d(cos z)/dz = -sin z

   

11) d(tan z)/dz = sec2 z

   

12) d(csc z)/dz = -csc z cot z

   

13) d(sec z)/dz = sec z tan z

   

14) d(cot z)/dz = -csc2 z

   

15) d(ln z)/dz = 1/z

   

16) dn(ln z)/dzn = (-1)n-1(n-1)!z-n

      

     

See Also:  Math Used in ECE