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y=5^x-7tg+3ctgx+arctgx
Derivada de la función/ 3ctgx/ arctg/ y=5^x/ y=5^x-7tg+3ctgx+arctgx

Derivada de y=5^x-7tg+3ctgx+arctgx

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

Gráfico:

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Solución

Ha introducido [src] 
 x                                
5  - 7*tan(x) + 3*cot(x) + acot(x)
((5x−7tan⁡(x))+3cot⁡(x))+acot⁡(x)\left(\left(5^{x} - 7 \tan{\left(x \right)}\right) + 3 \cot{\left(x \right)}\right) + \operatorname{acot}{\left(x \right)} 
5^x - 7*tan(x) + 3*cot(x) + acot(x)
Gráfica
02468-8-6-4-2-1010-2000000020000000
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Primera derivada [src] 
        1           2           2       x       
-10 - ------ - 7*tan (x) - 3*cot (x) + 5 *log(5)
           2                                    
      1 + x
5xlog⁡(5)−7tan⁡2(x)−3cot⁡2(x)−10−1x2+15^{x} \log{\left(5 \right)} - 7 \tan^{2}{\left(x \right)} - 3 \cot^{2}{\left(x \right)} - 10 - \frac{1}{x^{2} + 1}
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Segunda derivada [src] 
 x    2         /       2   \             2*x        /       2   \       
5 *log (5) - 14*\1 + tan (x)/*tan(x) + --------- + 6*\1 + cot (x)/*cot(x)
                                               2                         
                                       /     2\                          
                                       \1 + x /
5xlog⁡(5)2+2x(x2+1)2−14(tan⁡2(x)+1)tan⁡(x)+6(cot⁡2(x)+1)cot⁡(x)5^{x} \log{\left(5 \right)}^{2} + \frac{2 x}{\left(x^{2} + 1\right)^{2}} - 14 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + 6 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}
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Tercera derivada [src] 
                  2                  2                                                                                        2  
     /       2   \      /       2   \        2        x    3            2    /       2   \         2    /       2   \      8*x   
- 14*\1 + tan (x)/  - 6*\1 + cot (x)/  + --------- + 5 *log (5) - 28*tan (x)*\1 + tan (x)/ - 12*cot (x)*\1 + cot (x)/ - ---------
                                                 2                                                                              3
                                         /     2\                                                                       /     2\ 
                                         \1 + x /                                                                       \1 + x /
5xlog⁡(5)3−8x2(x2+1)3−14(tan⁡2(x)+1)2−28(tan⁡2(x)+1)tan⁡2(x)−6(cot⁡2(x)+1)2−12(cot⁡2(x)+1)cot⁡2(x)+2(x2+1)25^{x} \log{\left(5 \right)}^{3} - \frac{8 x^{2}}{\left(x^{2} + 1\right)^{3}} - 14 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} - 28 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} - 6 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} - 12 \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)} + \frac{2}{\left(x^{2} + 1\right)^{2}}
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Gráfico
Derivada de y=5^x-7tg+3ctgx+arctgx
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