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y=ln(cossqrt(x))*tg(2x+1)
Derivada de la función/ (2x+1)/ sqrt(x)/ y=ln(cossqrt(x))/ y=ln(cossqrt(x))*tg(2x+1)

Derivada de y=ln(cossqrt(x))*tg(2x+1)

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

Ha introducido [src] 
   /   /  ___\\             
log\cos\\/ x //*tan(2*x + 1)
log⁡(cos⁡(x))tan⁡(2x+1)\log{\left(\cos{\left(\sqrt{x} \right)} \right)} \tan{\left(2 x + 1 \right)} 
log(cos(sqrt(x)))*tan(2*x + 1)
Gráfica
02468-8-6-4-2-101040000-20000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                                           /  ___\             
/         2         \    /   /  ___\\   sin\\/ x /*tan(2*x + 1)
\2 + 2*tan (2*x + 1)/*log\cos\\/ x // - -----------------------
                                               ___    /  ___\  
                                           2*\/ x *cos\\/ x /
(2tan⁡2(2x+1)+2)log⁡(cos⁡(x))−sin⁡(x)tan⁡(2x+1)2xcos⁡(x)\left(2 \tan^{2}{\left(2 x + 1 \right)} + 2\right) \log{\left(\cos{\left(\sqrt{x} \right)} \right)} - \frac{\sin{\left(\sqrt{x} \right)} \tan{\left(2 x + 1 \right)}}{2 \sqrt{x} \cos{\left(\sqrt{x} \right)}}
Simplificar
Segunda derivada [src] 
  /        2/  ___\          /  ___\  \                                                                                                     
  |1    sin \\/ x /       sin\\/ x /  |                                                                                                     
  |- + ------------- - ---------------|*tan(1 + 2*x)                                                                                        
  |x        2/  ___\    3/2    /  ___\|                                                                       /       2         \    /  ___\
  \    x*cos \\/ x /   x   *cos\\/ x //                  /       2         \    /   /  ___\\                2*\1 + tan (1 + 2*x)/*sin\\/ x /
- -------------------------------------------------- + 8*\1 + tan (1 + 2*x)/*log\cos\\/ x //*tan(1 + 2*x) - --------------------------------
                          4                                                                                           ___    /  ___\        
                                                                                                                    \/ x *cos\\/ x /
8(tan⁡2(2x+1)+1)log⁡(cos⁡(x))tan⁡(2x+1)−(sin⁡2(x)xcos⁡2(x)+1x−sin⁡(x)x32cos⁡(x))tan⁡(2x+1)4−2(tan⁡2(2x+1)+1)sin⁡(x)xcos⁡(x)8 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right) \log{\left(\cos{\left(\sqrt{x} \right)} \right)} \tan{\left(2 x + 1 \right)} - \frac{\left(\frac{\sin^{2}{\left(\sqrt{x} \right)}}{x \cos^{2}{\left(\sqrt{x} \right)}} + \frac{1}{x} - \frac{\sin{\left(\sqrt{x} \right)}}{x^{\frac{3}{2}} \cos{\left(\sqrt{x} \right)}}\right) \tan{\left(2 x + 1 \right)}}{4} - \frac{2 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right) \sin{\left(\sqrt{x} \right)}}{\sqrt{x} \cos{\left(\sqrt{x} \right)}}
Simplificar
Tercera derivada [src] 
                        /        2/  ___\          /  ___\  \   /            2/  ___\           /  ___\          3/  ___\            /  ___\ \                                                                                                                             
    /       2         \ |1    sin \\/ x /       sin\\/ x /  |   |  3    3*sin \\/ x /      2*sin\\/ x /     2*sin \\/ x /       3*sin\\/ x / |                                                                                                                             
  3*\1 + tan (1 + 2*x)/*|- + ------------- - ---------------|   |- -- - -------------- + --------------- + ---------------- + ---------------|*tan(1 + 2*x)                                                                                                                
                        |x        2/  ___\    3/2    /  ___\|   |   2    2    2/  ___\    3/2    /  ___\    3/2    3/  ___\    5/2    /  ___\|                                                                                  /       2         \    /  ___\             
                        \    x*cos \\/ x /   x   *cos\\/ x //   \  x    x *cos \\/ x /   x   *cos\\/ x /   x   *cos \\/ x /   x   *cos\\/ x //                   /       2         \ /         2         \    /   /  ___\\   12*\1 + tan (1 + 2*x)/*sin\\/ x /*tan(1 + 2*x)
- ----------------------------------------------------------- - ------------------------------------------------------------------------------------------- + 16*\1 + tan (1 + 2*x)/*\1 + 3*tan (1 + 2*x)/*log\cos\\/ x // - ----------------------------------------------
                               2                                                                             8                                                                                                                                ___    /  ___\               
                                                                                                                                                                                                                                            \/ x *cos\\/ x /
16(tan⁡2(2x+1)+1)(3tan⁡2(2x+1)+1)log⁡(cos⁡(x))−3(tan⁡2(2x+1)+1)(sin⁡2(x)xcos⁡2(x)+1x−sin⁡(x)x32cos⁡(x))2−(−3sin⁡2(x)x2cos⁡2(x)−3x2+2sin⁡3(x)x32cos⁡3(x)+2sin⁡(x)x32cos⁡(x)+3sin⁡(x)x52cos⁡(x))tan⁡(2x+1)8−12(tan⁡2(2x+1)+1)sin⁡(x)tan⁡(2x+1)xcos⁡(x)16 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right) \left(3 \tan^{2}{\left(2 x + 1 \right)} + 1\right) \log{\left(\cos{\left(\sqrt{x} \right)} \right)} - \frac{3 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right) \left(\frac{\sin^{2}{\left(\sqrt{x} \right)}}{x \cos^{2}{\left(\sqrt{x} \right)}} + \frac{1}{x} - \frac{\sin{\left(\sqrt{x} \right)}}{x^{\frac{3}{2}} \cos{\left(\sqrt{x} \right)}}\right)}{2} - \frac{\left(- \frac{3 \sin^{2}{\left(\sqrt{x} \right)}}{x^{2} \cos^{2}{\left(\sqrt{x} \right)}} - \frac{3}{x^{2}} + \frac{2 \sin^{3}{\left(\sqrt{x} \right)}}{x^{\frac{3}{2}} \cos^{3}{\left(\sqrt{x} \right)}} + \frac{2 \sin{\left(\sqrt{x} \right)}}{x^{\frac{3}{2}} \cos{\left(\sqrt{x} \right)}} + \frac{3 \sin{\left(\sqrt{x} \right)}}{x^{\frac{5}{2}} \cos{\left(\sqrt{x} \right)}}\right) \tan{\left(2 x + 1 \right)}}{8} - \frac{12 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right) \sin{\left(\sqrt{x} \right)} \tan{\left(2 x + 1 \right)}}{\sqrt{x} \cos{\left(\sqrt{x} \right)}}
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Gráfico
Derivada de y=ln(cossqrt(x))*tg(2x+1)
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