Derivata di una funzione in valore assoluto

      y = | f(x) |                        y' = f '(x) [ |f(x)| / f(x)]

 

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Tabella delle derivate fondamentali.

 

Riassumiamo nella seguente tabelle le derivate delle funzioni elementari.

 

1. y = k ,    k Î R                 y¢  = 0
    
2.                          y¢ = n x^{n - 1} 
    
3.  y =                          
4.                       
5.                        
6.                       
7.                          
8.                         
9. y = arcsen x                    
10. y = arccosx                     
     
11. y = arctg x                    
12. y = arccotg x                
13. y = a^x                           
14. y = e^x                                                              
15. y = log_a x                      
16. y = log x                         
     
17. y = [f(x)]ⁿ                    
18.                    
19.                
    
    
20. y = sen f(x)                    y’ = f ’(x) cos f(x)
    
     
21. y = tg f(x)                       
     
22. y = arcosen f(x)           
    
    
23. y = e ^f(x)                           
    
     
24. y = a ^f(x)                           
     
     
25. y = log f(x)                 
    
    
26. y = log_a f(x)