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y=7ctgx+3*7^x+4arcsinx
Derivada de la función/ arcsin/ tgx+3/ y=7ctgx+3*7^x+4arcsinx

Derivada de y=7ctgx+3*7^x+4arcsinx

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

Ha introducido [src] 
              x            
7*cot(x) + 3*7  + 4*asin(x)
(3⋅7x+7cot⁡(x))+4asin⁡(x)\left(3 \cdot 7^{x} + 7 \cot{\left(x \right)}\right) + 4 \operatorname{asin}{\left(x \right)} 
7*cot(x) + 3*7^x + 4*asin(x)
Gráfica
02468-8-6-4-2-1010-20000000002000000000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
          2           4           x       
-7 - 7*cot (x) + ----------- + 3*7 *log(7)
                    ________              
                   /      2               
                 \/  1 - x
3⋅7xlog⁡(7)−7cot⁡2(x)−7+41−x23 \cdot 7^{x} \log{\left(7 \right)} - 7 \cot^{2}{\left(x \right)} - 7 + \frac{4}{\sqrt{1 - x^{2}}}
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Segunda derivada [src] 
   x    2          4*x          /       2   \       
3*7 *log (7) + ----------- + 14*\1 + cot (x)/*cot(x)
                       3/2                          
               /     2\                             
               \1 - x /
3⋅7xlog⁡(7)2+4x(1−x2)32+14(cot⁡2(x)+1)cot⁡(x)3 \cdot 7^{x} \log{\left(7 \right)}^{2} + \frac{4 x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 14 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}
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Tercera derivada [src] 
                  2                                                                  2   
     /       2   \         4              2    /       2   \      x    3         12*x    
- 14*\1 + cot (x)/  + ----------- - 28*cot (x)*\1 + cot (x)/ + 3*7 *log (7) + -----------
                              3/2                                                     5/2
                      /     2\                                                /     2\   
                      \1 - x /                                                \1 - x /
3⋅7xlog⁡(7)3+12x2(1−x2)52−14(cot⁡2(x)+1)2−28(cot⁡2(x)+1)cot⁡2(x)+4(1−x2)323 \cdot 7^{x} \log{\left(7 \right)}^{3} + \frac{12 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - 14 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} - 28 \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)} + \frac{4}{\left(1 - x^{2}\right)^{\frac{3}{2}}}
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Gráfico
Derivada de y=7ctgx+3*7^x+4arcsinx
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