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y=(sqrt(arccos2x))*3^-x
Derivada de la función/ cos2x/ arccos/ y=(sqrt(arccos2x))*3^-x

Derivada de y=(sqrt(arccos2x))*3^-x

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
  ___________  -x
\/ acos(2*x) *3
3−xacos⁡(2x)3^{- x} \sqrt{\operatorname{acos}{\left(2 x \right)}} 
sqrt(acos(2*x))*3^(-x)
Gráfica
02468-8-6-4-2-10105-5
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Trazar el gráfico f'(x)
Primera derivada [src] 
               -x                                       
              3                  -x   ___________       
- --------------------------- - 3  *\/ acos(2*x) *log(3)
     __________                                         
    /        2    ___________                           
  \/  1 - 4*x  *\/ acos(2*x)
−3−xlog⁡(3)acos⁡(2x)−3−x1−4x2acos⁡(2x)- 3^{- x} \log{\left(3 \right)} \sqrt{\operatorname{acos}{\left(2 x \right)}} - \frac{3^{- x}}{\sqrt{1 - 4 x^{2}} \sqrt{\operatorname{acos}{\left(2 x \right)}}}
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Segunda derivada [src] 
    /                                    1                  4*x                                   \
    |                        - --------------------- + -------------                              |
    |                          /        2\                       3/2                              |
    |                          \-1 + 4*x /*acos(2*x)   /       2\                                 |
 -x |  ___________    2                                \1 - 4*x /                2*log(3)         |
3  *|\/ acos(2*x) *log (3) - --------------------------------------- + ---------------------------|
    |                                       ___________                   __________              |
    |                                     \/ acos(2*x)                   /        2    ___________|
    \                                                                  \/  1 - 4*x  *\/ acos(2*x) /
3−x(−4x(1−4x2)32−1(4x2−1)acos⁡(2x)acos⁡(2x)+log⁡(3)2acos⁡(2x)+2log⁡(3)1−4x2acos⁡(2x))3^{- x} \left(- \frac{\frac{4 x}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{\left(4 x^{2} - 1\right) \operatorname{acos}{\left(2 x \right)}}}{\sqrt{\operatorname{acos}{\left(2 x \right)}}} + \log{\left(3 \right)}^{2} \sqrt{\operatorname{acos}{\left(2 x \right)}} + \frac{2 \log{\left(3 \right)}}{\sqrt{1 - 4 x^{2}} \sqrt{\operatorname{acos}{\left(2 x \right)}}}\right)
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Tercera derivada [src] 
    /                                                                             2                                                                                                                \
    |                                4                    3                   48*x                 12*x                                            /            1                  4*x     \       |
    |                          ------------- + ------------------------ + ------------- + ----------------------                                 3*|- --------------------- + -------------|*log(3)|
    |                                    3/2             3/2                        5/2              2                                             |  /        2\                       3/2|       |
    |                          /       2\      /       2\        2        /       2\      /        2\                            2                 |  \-1 + 4*x /*acos(2*x)   /       2\   |       |
 -x |    ___________    3      \1 - 4*x /      \1 - 4*x /   *acos (2*x)   \1 - 4*x /      \-1 + 4*x / *acos(2*x)            3*log (3)              \                          \1 - 4*x /   /       |
3  *|- \/ acos(2*x) *log (3) - --------------------------------------------------------------------------------- - --------------------------- + --------------------------------------------------|
    |                                                              ___________                                        __________                                     ___________                   |
    |                                                            \/ acos(2*x)                                        /        2    ___________                     \/ acos(2*x)                    |
    \                                                                                                              \/  1 - 4*x  *\/ acos(2*x)                                                      /
3−x(3(4x(1−4x2)32−1(4x2−1)acos⁡(2x))log⁡(3)acos⁡(2x)−48x2(1−4x2)52+12x(4x2−1)2acos⁡(2x)+4(1−4x2)32+3(1−4x2)32acos⁡2(2x)acos⁡(2x)−log⁡(3)3acos⁡(2x)−3log⁡(3)21−4x2acos⁡(2x))3^{- x} \left(\frac{3 \left(\frac{4 x}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{\left(4 x^{2} - 1\right) \operatorname{acos}{\left(2 x \right)}}\right) \log{\left(3 \right)}}{\sqrt{\operatorname{acos}{\left(2 x \right)}}} - \frac{\frac{48 x^{2}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} + \frac{12 x}{\left(4 x^{2} - 1\right)^{2} \operatorname{acos}{\left(2 x \right)}} + \frac{4}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{3}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{acos}^{2}{\left(2 x \right)}}}{\sqrt{\operatorname{acos}{\left(2 x \right)}}} - \log{\left(3 \right)}^{3} \sqrt{\operatorname{acos}{\left(2 x \right)}} - \frac{3 \log{\left(3 \right)}^{2}}{\sqrt{1 - 4 x^{2}} \sqrt{\operatorname{acos}{\left(2 x \right)}}}\right)
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Gráfico
Derivada de y=(sqrt(arccos2x))*3^-x
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