Sr Examen

Derivada de y=tg*32xexp(-x)

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Solución

Ha introducido [src]
           -x
tan(32*x)*e  
extan(32x)e^{- x} \tan{\left(32 x \right)}
tan(32*x)*exp(-x)
Gráfica
02468-8-6-4-2-1010200000000-100000000
Primera derivada [src]
/           2      \  -x    -x          
\32 + 32*tan (32*x)/*e   - e  *tan(32*x)
(32tan2(32x)+32)exextan(32x)\left(32 \tan^{2}{\left(32 x \right)} + 32\right) e^{- x} - e^{- x} \tan{\left(32 x \right)}
Segunda derivada [src]
/            2              /       2      \                      \  -x
\-64 - 64*tan (32*x) + 2048*\1 + tan (32*x)/*tan(32*x) + tan(32*x)/*e  
(2048(tan2(32x)+1)tan(32x)64tan2(32x)+tan(32x)64)ex\left(2048 \left(\tan^{2}{\left(32 x \right)} + 1\right) \tan{\left(32 x \right)} - 64 \tan^{2}{\left(32 x \right)} + \tan{\left(32 x \right)} - 64\right) e^{- x}
Tercera derivada [src]
/                       2              /       2      \                   /       2      \ /         2      \\  -x
\96 - tan(32*x) + 96*tan (32*x) - 6144*\1 + tan (32*x)/*tan(32*x) + 65536*\1 + tan (32*x)/*\1 + 3*tan (32*x)//*e  
(65536(tan2(32x)+1)(3tan2(32x)+1)6144(tan2(32x)+1)tan(32x)+96tan2(32x)tan(32x)+96)ex\left(65536 \left(\tan^{2}{\left(32 x \right)} + 1\right) \left(3 \tan^{2}{\left(32 x \right)} + 1\right) - 6144 \left(\tan^{2}{\left(32 x \right)} + 1\right) \tan{\left(32 x \right)} + 96 \tan^{2}{\left(32 x \right)} - \tan{\left(32 x \right)} + 96\right) e^{- x}
Gráfico
Derivada de y=tg*32xexp(-x)