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y=2x^5-ctg5x+2^x

Derivada de y=2x^5-ctg5x+2^x

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Solución

Ha introducido [src]
   5               x
2*x  - cot(5*x) + 2 
2x+(2x5cot(5x))2^{x} + \left(2 x^{5} - \cot{\left(5 x \right)}\right)
2*x^5 - cot(5*x) + 2^x
Gráfica
02468-8-6-4-2-1010-500000500000
Primera derivada [src]
         2            4    x       
5 + 5*cot (5*x) + 10*x  + 2 *log(2)
2xlog(2)+10x4+5cot2(5x)+52^{x} \log{\left(2 \right)} + 10 x^{4} + 5 \cot^{2}{\left(5 x \right)} + 5
Segunda derivada [src]
    3    x    2         /       2     \         
40*x  + 2 *log (2) - 50*\1 + cot (5*x)/*cot(5*x)
2xlog(2)2+40x350(cot2(5x)+1)cot(5x)2^{x} \log{\left(2 \right)}^{2} + 40 x^{3} - 50 \left(\cot^{2}{\left(5 x \right)} + 1\right) \cot{\left(5 x \right)}
Tercera derivada [src]
                            2                                             
     2       /       2     \     x    3             2      /       2     \
120*x  + 250*\1 + cot (5*x)/  + 2 *log (2) + 500*cot (5*x)*\1 + cot (5*x)/
2xlog(2)3+120x2+250(cot2(5x)+1)2+500(cot2(5x)+1)cot2(5x)2^{x} \log{\left(2 \right)}^{3} + 120 x^{2} + 250 \left(\cot^{2}{\left(5 x \right)} + 1\right)^{2} + 500 \left(\cot^{2}{\left(5 x \right)} + 1\right) \cot^{2}{\left(5 x \right)}
Gráfico
Derivada de y=2x^5-ctg5x+2^x