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Derivada de √x
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Expresiones idénticas
y= tres ^(tgx)*arcsin7x^(cuatro)
y es igual a 3 en el grado (tgx) multiplicar por arc seno de 7x en el grado (4)
y es igual a tres en el grado (tgx) multiplicar por arc seno de 7x en el grado (cuatro)
y=3(tgx)*arcsin7x(4)
y=3tgx*arcsin7x4
y=3^(tgx)arcsin7x^(4)
y=3(tgx)arcsin7x(4)
y=3tgxarcsin7x4
y=3^tgxarcsin7x^4
Expresiones con funciones
tgx
tgx-9x
tgx-ctgx

Derivada de la función/ sin7x/ (tgx)/ arcsin/ y=3^(tgx)*arcsin7x^(4)

Derivada de y=3^(tgx)*arcsin7x^(4)

Solución

Ha introducido [src]

 tan(x)     4     
3      *asin (7*x)

3^{\tan{\left(x \right)}} \operatorname{asin}^{4}{\left(7 x \right)}

3^tan(x)*asin(7*x)^4

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

    tan(x)     3                                               
28*3      *asin (7*x)    tan(x)     4      /       2   \       
--------------------- + 3      *asin (7*x)*\1 + tan (x)/*log(3)
       ___________                                             
      /         2                                              
    \/  1 - 49*x

3^{\tan{\left(x \right)}} \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \operatorname{asin}^{4}{\left(7 x \right)} + \frac{28 \cdot 3^{\tan{\left(x \right)}} \operatorname{asin}^{3}{\left(7 x \right)}}{\sqrt{1 - 49 x^{2}}}

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Segunda derivada [src]

                   /                                                                                                         /       2   \                 \
 tan(x)     2      |     588       1372*x*asin(7*x)       2      /       2   \ /           /       2   \       \          56*\1 + tan (x)/*asin(7*x)*log(3)|
3      *asin (7*x)*|- ---------- + ---------------- + asin (7*x)*\1 + tan (x)/*\2*tan(x) + \1 + tan (x)/*log(3)/*log(3) + ---------------------------------|
                   |           2               3/2                                                                                     ___________         |
                   |  -1 + 49*x     /        2\                                                                                       /         2          |
                   \                \1 - 49*x /                                                                                     \/  1 - 49*x           /

3^{\tan{\left(x \right)}} \left(\frac{1372 x \operatorname{asin}{\left(7 x \right)}}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} + 2 \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \operatorname{asin}^{2}{\left(7 x \right)} - \frac{588}{49 x^{2} - 1} + \frac{56 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \operatorname{asin}{\left(7 x \right)}}{\sqrt{1 - 49 x^{2}}}\right) \operatorname{asin}^{2}{\left(7 x \right)}

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Tercera derivada [src]

        /                          2                                    2     2                                 /                             2                                        \                                                                                      2      /       2   \ /           /       2   \       \       \          
 tan(x) |     8232        1372*asin (7*x)   86436*x*asin(7*x)   201684*x *asin (7*x)       3      /       2   \ |         2      /       2   \     2        /       2   \              |              /       2   \ /      3        7*x*asin(7*x) \                    84*asin (7*x)*\1 + tan (x)/*\2*tan(x) + \1 + tan (x)/*log(3)/*log(3)|          
3      *|-------------- + --------------- + ----------------- + -------------------- + asin (7*x)*\1 + tan (x)/*\2 + 6*tan (x) + \1 + tan (x)/ *log (3) + 6*\1 + tan (x)/*log(3)*tan(x)/*log(3) + 588*\1 + tan (x)/*|- ---------- + --------------|*asin(7*x)*log(3) + --------------------------------------------------------------------|*asin(7*x)
        |           3/2               3/2                 2                   5/2                                                                                                                                   |           2              3/2|                                                  ___________                           |          
        |/        2\       /        2\        /         2\         /        2\                                                                                                                                      |  -1 + 49*x    /        2\   |                                                 /         2                            |          
        \\1 - 49*x /       \1 - 49*x /        \-1 + 49*x /         \1 - 49*x /                                                                                                                                      \               \1 - 49*x /   /                                               \/  1 - 49*x                             /

3^{\tan{\left(x \right)}} \left(\frac{201684 x^{2} \operatorname{asin}^{2}{\left(7 x \right)}}{\left(1 - 49 x^{2}\right)^{\frac{5}{2}}} + \frac{86436 x \operatorname{asin}{\left(7 x \right)}}{\left(49 x^{2} - 1\right)^{2}} + 588 \left(\frac{7 x \operatorname{asin}{\left(7 x \right)}}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} - \frac{3}{49 x^{2} - 1}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \operatorname{asin}{\left(7 x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(3 \right)}^{2} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \tan{\left(x \right)} + 6 \tan^{2}{\left(x \right)} + 2\right) \log{\left(3 \right)} \operatorname{asin}^{3}{\left(7 x \right)} + \frac{84 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} + 2 \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \operatorname{asin}^{2}{\left(7 x \right)}}{\sqrt{1 - 49 x^{2}}} + \frac{1372 \operatorname{asin}^{2}{\left(7 x \right)}}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} + \frac{8232}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}}\right) \operatorname{asin}{\left(7 x \right)}

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Gráfico

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Derivada de y=3^(tgx)*arcsin7x^(4)

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Solución