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y=6sinx+5ctgx-7arccosx
Derivada de la función/ 5ctgx/ arccos/ y=6sinx/ y=6sinx+5ctgx-7arccosx

Derivada de y=6sinx+5ctgx-7arccosx

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

Ha introducido [src] 
6*sin(x) + 5*cot(x) - 7*acos(x)
(6sin⁡(x)+5cot⁡(x))−7acos⁡(x)\left(6 \sin{\left(x \right)} + 5 \cot{\left(x \right)}\right) - 7 \operatorname{acos}{\left(x \right)} 
6*sin(x) + 5*cot(x) - 7*acos(x)
Gráfica
02468-8-6-4-2-1010-500500
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Trazar el gráfico f'(x)
Primera derivada [src] 
          2                      7     
-5 - 5*cot (x) + 6*cos(x) + -----------
                               ________
                              /      2 
                            \/  1 - x
6cos⁡(x)−5cot⁡2(x)−5+71−x26 \cos{\left(x \right)} - 5 \cot^{2}{\left(x \right)} - 5 + \frac{7}{\sqrt{1 - x^{2}}}
Simplificar
Segunda derivada [src] 
                7*x          /       2   \       
-6*sin(x) + ----------- + 10*\1 + cot (x)/*cot(x)
                    3/2                          
            /     2\                             
            \1 - x /
7x(1−x2)32+10(cot⁡2(x)+1)cot⁡(x)−6sin⁡(x)\frac{7 x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 10 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)} - 6 \sin{\left(x \right)}
Simplificar
Tercera derivada [src] 
                  2                                                              2   
     /       2   \                    7              2    /       2   \      21*x    
- 10*\1 + cot (x)/  - 6*cos(x) + ----------- - 20*cot (x)*\1 + cot (x)/ + -----------
                                         3/2                                      5/2
                                 /     2\                                 /     2\   
                                 \1 - x /                                 \1 - x /
21x2(1−x2)52−10(cot⁡2(x)+1)2−20(cot⁡2(x)+1)cot⁡2(x)−6cos⁡(x)+7(1−x2)32\frac{21 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - 10 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} - 20 \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)} - 6 \cos{\left(x \right)} + \frac{7}{\left(1 - x^{2}\right)^{\frac{3}{2}}}
Simplificar
Gráfico
Derivada de y=6sinx+5ctgx-7arccosx
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