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y=7sinx+5ctgx-4arccosx
Derivada de la función/ 7sinx/ 5ctgx/ arccos/ y=7sin/ y=7sinx+5ctgx-4arccosx

Derivada de y=7sinx+5ctgx-4arccosx

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

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Solución

Ha introducido [src] 
7*sin(x) + 5*cot(x) - 4*acos(x)
(7sin⁡(x)+5cot⁡(x))−4acos⁡(x)\left(7 \sin{\left(x \right)} + 5 \cot{\left(x \right)}\right) - 4 \operatorname{acos}{\left(x \right)} 
7*sin(x) + 5*cot(x) - 4*acos(x)
Gráfica
02468-8-6-4-2-1010-500500
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Trazar el gráfico f'(x)
Primera derivada [src] 
          2           4                
-5 - 5*cot (x) + ----------- + 7*cos(x)
                    ________           
                   /      2            
                 \/  1 - x
7cos⁡(x)−5cot⁡2(x)−5+41−x27 \cos{\left(x \right)} - 5 \cot^{2}{\left(x \right)} - 5 + \frac{4}{\sqrt{1 - x^{2}}}
Simplificar
Segunda derivada [src] 
                4*x          /       2   \       
-7*sin(x) + ----------- + 10*\1 + cot (x)/*cot(x)
                    3/2                          
            /     2\                             
            \1 - x /
4x(1−x2)32+10(cot⁡2(x)+1)cot⁡(x)−7sin⁡(x)\frac{4 x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 10 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)} - 7 \sin{\left(x \right)}
Simplificar
Tercera derivada [src] 
                  2                                                              2   
     /       2   \                    4              2    /       2   \      12*x    
- 10*\1 + cot (x)/  - 7*cos(x) + ----------- - 20*cot (x)*\1 + cot (x)/ + -----------
                                         3/2                                      5/2
                                 /     2\                                 /     2\   
                                 \1 - x /                                 \1 - x /
12x2(1−x2)52−10(cot⁡2(x)+1)2−20(cot⁡2(x)+1)cot⁡2(x)−7cos⁡(x)+4(1−x2)32\frac{12 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)} - 7 \cos{\left(x \right)} + \frac{4}{\left(1 - x^{2}\right)^{\frac{3}{2}}}
Simplificar
Gráfico
Derivada de y=7sinx+5ctgx-4arccosx
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