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y=tg(5x^2-8x)(7x^2+5x-4x)
Derivada de la función/ x^2+5/ y=tg(5x^2-8x)(7x^2+5x-4x)

Derivada de y=tg(5x^2-8x)(7x^2+5x-4x)

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

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Solución

Ha introducido [src] 
   /   2      \ /   2            \
tan\5*x  - 8*x/*\7*x  + 5*x - 4*x/
(−4x+(7x2+5x))tan⁡(5x2−8x)\left(- 4 x + \left(7 x^{2} + 5 x\right)\right) \tan{\left(5 x^{2} - 8 x \right)} 
tan(5*x^2 - 8*x)*(7*x^2 + 5*x - 4*x)
Gráfica
02468-8-6-4-2-1010-2500000025000000
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Primera derivada [src] 
              /   2      \   /       2/   2      \\             /   2            \
(1 + 14*x)*tan\5*x  - 8*x/ + \1 + tan \5*x  - 8*x//*(-8 + 10*x)*\7*x  + 5*x - 4*x/
(−4x+(7x2+5x))(10x−8)(tan⁡2(5x2−8x)+1)+(14x+1)tan⁡(5x2−8x)\left(- 4 x + \left(7 x^{2} + 5 x\right)\right) \left(10 x - 8\right) \left(\tan^{2}{\left(5 x^{2} - 8 x \right)} + 1\right) + \left(14 x + 1\right) \tan{\left(5 x^{2} - 8 x \right)}
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Segunda derivada [src] 
  /                                  /         2                             2 /       2              \                  \     /       2              \                      \
2*\7*tan(x*(-8 + 5*x)) + x*(1 + 7*x)*\5 + 5*tan (x*(-8 + 5*x)) + 4*(-4 + 5*x) *\1 + tan (x*(-8 + 5*x))/*tan(x*(-8 + 5*x))/ + 2*\1 + tan (x*(-8 + 5*x))/*(1 + 14*x)*(-4 + 5*x)/
2(x(7x+1)(4(5x−4)2(tan⁡2(x(5x−8))+1)tan⁡(x(5x−8))+5tan⁡2(x(5x−8))+5)+2(5x−4)(14x+1)(tan⁡2(x(5x−8))+1)+7tan⁡(x(5x−8)))2 \left(x \left(7 x + 1\right) \left(4 \left(5 x - 4\right)^{2} \left(\tan^{2}{\left(x \left(5 x - 8\right) \right)} + 1\right) \tan{\left(x \left(5 x - 8\right) \right)} + 5 \tan^{2}{\left(x \left(5 x - 8\right) \right)} + 5\right) + 2 \left(5 x - 4\right) \left(14 x + 1\right) \left(\tan^{2}{\left(x \left(5 x - 8\right) \right)} + 1\right) + 7 \tan{\left(x \left(5 x - 8\right) \right)}\right)
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Tercera derivada [src] 
  /             /         2                             2 /       2              \                  \      /       2              \                  /       2              \                      /                                   2 /       2              \               2    2              \\
2*\3*(1 + 14*x)*\5 + 5*tan (x*(-8 + 5*x)) + 4*(-4 + 5*x) *\1 + tan (x*(-8 + 5*x))/*tan(x*(-8 + 5*x))/ + 42*\1 + tan (x*(-8 + 5*x))/*(-4 + 5*x) + 4*x*\1 + tan (x*(-8 + 5*x))/*(1 + 7*x)*(-4 + 5*x)*\15*tan(x*(-8 + 5*x)) + 2*(-4 + 5*x) *\1 + tan (x*(-8 + 5*x))/ + 4*(-4 + 5*x) *tan (x*(-8 + 5*x))//
2(4x(5x−4)(7x+1)(tan⁡2(x(5x−8))+1)(2(5x−4)2(tan⁡2(x(5x−8))+1)+4(5x−4)2tan⁡2(x(5x−8))+15tan⁡(x(5x−8)))+42(5x−4)(tan⁡2(x(5x−8))+1)+3(14x+1)(4(5x−4)2(tan⁡2(x(5x−8))+1)tan⁡(x(5x−8))+5tan⁡2(x(5x−8))+5))2 \left(4 x \left(5 x - 4\right) \left(7 x + 1\right) \left(\tan^{2}{\left(x \left(5 x - 8\right) \right)} + 1\right) \left(2 \left(5 x - 4\right)^{2} \left(\tan^{2}{\left(x \left(5 x - 8\right) \right)} + 1\right) + 4 \left(5 x - 4\right)^{2} \tan^{2}{\left(x \left(5 x - 8\right) \right)} + 15 \tan{\left(x \left(5 x - 8\right) \right)}\right) + 42 \left(5 x - 4\right) \left(\tan^{2}{\left(x \left(5 x - 8\right) \right)} + 1\right) + 3 \left(14 x + 1\right) \left(4 \left(5 x - 4\right)^{2} \left(\tan^{2}{\left(x \left(5 x - 8\right) \right)} + 1\right) \tan{\left(x \left(5 x - 8\right) \right)} + 5 \tan^{2}{\left(x \left(5 x - 8\right) \right)} + 5\right)\right)
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Gráfico
Derivada de y=tg(5x^2-8x)(7x^2+5x-4x)
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