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y=3tgx+1/cosx-sinx
Derivada de la función/ -sinx/ y=3tgx/ 1/cosx/ y=3tgx+1/cosx-sinx

Derivada de y=3tgx+1/cosx-sinx

Función f() - derivada -er orden en el punto
v

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Solución

Ha introducido [src] 
             1            
3*tan(x) + ------ - sin(x)
           cos(x)
(3tan⁡(x)+1cos⁡(x))−sin⁡(x)\left(3 \tan{\left(x \right)} + \frac{1}{\cos{\left(x \right)}}\right) - \sin{\left(x \right)} 
3*tan(x) + 1/cos(x) - sin(x)
Gráfica
02468-8-6-4-2-1010-50005000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                  2       sin(x)
3 - cos(x) + 3*tan (x) + -------
                            2   
                         cos (x)
sin⁡(x)cos⁡2(x)−cos⁡(x)+3tan⁡2(x)+3\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}} - \cos{\left(x \right)} + 3 \tan^{2}{\left(x \right)} + 3
Simplificar
Segunda derivada [src] 
              2                                     
  1      2*sin (x)     /       2   \                
------ + --------- + 6*\1 + tan (x)/*tan(x) + sin(x)
cos(x)       3                                      
          cos (x)
6(tan⁡2(x)+1)tan⁡(x)+2sin⁡2(x)cos⁡3(x)+sin⁡(x)+1cos⁡(x)6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \frac{2 \sin^{2}{\left(x \right)}}{\cos^{3}{\left(x \right)}} + \sin{\left(x \right)} + \frac{1}{\cos{\left(x \right)}}
Simplificar
Tercera derivada [src] 
               2                   3                                       
  /       2   \    5*sin(x)   6*sin (x)         2    /       2   \         
6*\1 + tan (x)/  + -------- + --------- + 12*tan (x)*\1 + tan (x)/ + cos(x)
                      2           4                                        
                   cos (x)     cos (x)
6(tan⁡2(x)+1)2+12(tan⁡2(x)+1)tan⁡2(x)+6sin⁡3(x)cos⁡4(x)+5sin⁡(x)cos⁡2(x)+cos⁡(x)6 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 12 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + \frac{6 \sin^{3}{\left(x \right)}}{\cos^{4}{\left(x \right)}} + \frac{5 \sin{\left(x \right)}}{\cos^{2}{\left(x \right)}} + \cos{\left(x \right)}
Simplificar
Gráfico
Derivada de y=3tgx+1/cosx-sinx
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