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cos(x^2)^(5)*tan(4*x+1)^(2)
Derivada de la función/ cos(x^2)^(5)*tan(4*x+1)^(2)

Derivada de cos(x^2)^(5)*tan(4*x+1)^(2)

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
   5/ 2\    2         
cos \x /*tan (4*x + 1)
cos⁡5(x2)tan⁡2(4x+1)\cos^{5}{\left(x^{2} \right)} \tan^{2}{\left(4 x + 1 \right)} 
cos(x^2)^5*tan(4*x + 1)^2
Gráfica
02468-8-6-4-2-1010-2500000025000000
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Trazar el gráfico f'(x)
Primera derivada [src] 
   5/ 2\ /         2         \                        4/ 2\    2             / 2\
cos \x /*\8 + 8*tan (4*x + 1)/*tan(4*x + 1) - 10*x*cos \x /*tan (4*x + 1)*sin\x /
−10xsin⁡(x2)cos⁡4(x2)tan⁡2(4x+1)+(8tan⁡2(4x+1)+8)cos⁡5(x2)tan⁡(4x+1)- 10 x \sin{\left(x^{2} \right)} \cos^{4}{\left(x^{2} \right)} \tan^{2}{\left(4 x + 1 \right)} + \left(8 \tan^{2}{\left(4 x + 1 \right)} + 8\right) \cos^{5}{\left(x^{2} \right)} \tan{\left(4 x + 1 \right)}
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Segunda derivada [src] 
     3/ 2\ /       2          /   / 2\    / 2\      2    2/ 2\      2    2/ 2\\         2/ 2\ /       2         \ /         2         \        /       2         \    / 2\    / 2\             \
2*cos \x /*\- 5*tan (1 + 4*x)*\cos\x /*sin\x / - 8*x *sin \x / + 2*x *cos \x // + 16*cos \x /*\1 + tan (1 + 4*x)/*\1 + 3*tan (1 + 4*x)/ - 80*x*\1 + tan (1 + 4*x)/*cos\x /*sin\x /*tan(1 + 4*x)/
2(−80x(tan⁡2(4x+1)+1)sin⁡(x2)cos⁡(x2)tan⁡(4x+1)+16(tan⁡2(4x+1)+1)(3tan⁡2(4x+1)+1)cos⁡2(x2)−5(−8x2sin⁡2(x2)+2x2cos⁡2(x2)+sin⁡(x2)cos⁡(x2))tan⁡2(4x+1))cos⁡3(x2)2 \left(- 80 x \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \sin{\left(x^{2} \right)} \cos{\left(x^{2} \right)} \tan{\left(4 x + 1 \right)} + 16 \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \left(3 \tan^{2}{\left(4 x + 1 \right)} + 1\right) \cos^{2}{\left(x^{2} \right)} - 5 \left(- 8 x^{2} \sin^{2}{\left(x^{2} \right)} + 2 x^{2} \cos^{2}{\left(x^{2} \right)} + \sin{\left(x^{2} \right)} \cos{\left(x^{2} \right)}\right) \tan^{2}{\left(4 x + 1 \right)}\right) \cos^{3}{\left(x^{2} \right)}
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Tercera derivada [src] 
     2/ 2\ /         2          /     3/ 2\         2/ 2\    / 2\       2    3/ 2\       2    2/ 2\    / 2\\      /       2         \ /   / 2\    / 2\      2    2/ 2\      2    2/ 2\\    / 2\                       3/ 2\ /       2         \ /         2         \                         2/ 2\ /       2         \ /         2         \    / 2\\
4*cos \x /*\- 5*x*tan (1 + 4*x)*\3*cos \x / - 12*sin \x /*cos\x / + 24*x *sin \x / - 26*x *cos \x /*sin\x // - 60*\1 + tan (1 + 4*x)/*\cos\x /*sin\x / - 8*x *sin \x / + 2*x *cos \x //*cos\x /*tan(1 + 4*x) + 128*cos \x /*\1 + tan (1 + 4*x)/*\2 + 3*tan (1 + 4*x)/*tan(1 + 4*x) - 240*x*cos \x /*\1 + tan (1 + 4*x)/*\1 + 3*tan (1 + 4*x)/*sin\x //
4(−240x(tan⁡2(4x+1)+1)(3tan⁡2(4x+1)+1)sin⁡(x2)cos⁡2(x2)−5x(24x2sin⁡3(x2)−26x2sin⁡(x2)cos⁡2(x2)−12sin⁡2(x2)cos⁡(x2)+3cos⁡3(x2))tan⁡2(4x+1)+128(tan⁡2(4x+1)+1)(3tan⁡2(4x+1)+2)cos⁡3(x2)tan⁡(4x+1)−60(tan⁡2(4x+1)+1)(−8x2sin⁡2(x2)+2x2cos⁡2(x2)+sin⁡(x2)cos⁡(x2))cos⁡(x2)tan⁡(4x+1))cos⁡2(x2)4 \left(- 240 x \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \left(3 \tan^{2}{\left(4 x + 1 \right)} + 1\right) \sin{\left(x^{2} \right)} \cos^{2}{\left(x^{2} \right)} - 5 x \left(24 x^{2} \sin^{3}{\left(x^{2} \right)} - 26 x^{2} \sin{\left(x^{2} \right)} \cos^{2}{\left(x^{2} \right)} - 12 \sin^{2}{\left(x^{2} \right)} \cos{\left(x^{2} \right)} + 3 \cos^{3}{\left(x^{2} \right)}\right) \tan^{2}{\left(4 x + 1 \right)} + 128 \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \left(3 \tan^{2}{\left(4 x + 1 \right)} + 2\right) \cos^{3}{\left(x^{2} \right)} \tan{\left(4 x + 1 \right)} - 60 \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \left(- 8 x^{2} \sin^{2}{\left(x^{2} \right)} + 2 x^{2} \cos^{2}{\left(x^{2} \right)} + \sin{\left(x^{2} \right)} \cos{\left(x^{2} \right)}\right) \cos{\left(x^{2} \right)} \tan{\left(4 x + 1 \right)}\right) \cos^{2}{\left(x^{2} \right)}
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Gráfico
Derivada de cos(x^2)^(5)*tan(4*x+1)^(2)
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