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Derivada de 1/(x+3)
Derivada de 4-x²
Derivada de 3^(1/x)
Derivada de 2*x+8/x
Expresiones idénticas
y=arcsin^4x* cinco ^cosx-lnx
y es igual a arc seno de en el grado 4x multiplicar por 5 en el grado coseno de x menos lnx
y es igual a arc seno de en el grado 4x multiplicar por cinco en el grado coseno de x menos lnx
y=arcsin4x*5cosx-lnx
y=arcsin⁴x*5^cosx-lnx
y=arcsin^4x5^cosx-lnx
y=arcsin4x5cosx-lnx
Expresiones semejantes
y=arcsin^4x*5^cosx+lnx

Derivada de la función/ sin^4/ x-lnx/ 5^cosx/ arcsin/ y=arcsin^4x*5^cosx-lnx

Derivada de y=arcsin^4x*5^cosx-lnx

Solución

Ha introducido [src]

    4     cos(x)         
asin (x)*5       - log(x)

5^{\cos{\left(x \right)}} \operatorname{asin}^{4}{\left(x \right)} - \log{\left(x \right)}

asin(x)^4*5^cos(x) - log(x)

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

         cos(x)     3                                    
  1   4*5      *asin (x)    cos(x)     4                 
- - + ------------------ - 5      *asin (x)*log(5)*sin(x)
  x         ________                                     
           /      2                                      
         \/  1 - x

- 5^{\cos{\left(x \right)}} \log{\left(5 \right)} \sin{\left(x \right)} \operatorname{asin}^{4}{\left(x \right)} + \frac{4 \cdot 5^{\cos{\left(x \right)}} \operatorname{asin}^{3}{\left(x \right)}}{\sqrt{1 - x^{2}}} - \frac{1}{x}

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Segunda derivada [src]

         cos(x)     2                                                                               cos(x)     3         cos(x)     3                 
1    12*5      *asin (x)    cos(x)     4       2       2       cos(x)     4                    4*x*5      *asin (x)   8*5      *asin (x)*log(5)*sin(x)
-- - ------------------- + 5      *asin (x)*log (5)*sin (x) - 5      *asin (x)*cos(x)*log(5) + -------------------- - --------------------------------
 2               2                                                                                         3/2                     ________           
x          -1 + x                                                                                  /     2\                       /      2            
                                                                                                   \1 - x /                     \/  1 - x

\frac{4 \cdot 5^{\cos{\left(x \right)}} x \operatorname{asin}^{3}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 5^{\cos{\left(x \right)}} \log{\left(5 \right)}^{2} \sin^{2}{\left(x \right)} \operatorname{asin}^{4}{\left(x \right)} - 5^{\cos{\left(x \right)}} \log{\left(5 \right)} \cos{\left(x \right)} \operatorname{asin}^{4}{\left(x \right)} - \frac{12 \cdot 5^{\cos{\left(x \right)}} \operatorname{asin}^{2}{\left(x \right)}}{x^{2} - 1} - \frac{8 \cdot 5^{\cos{\left(x \right)}} \log{\left(5 \right)} \sin{\left(x \right)} \operatorname{asin}^{3}{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{1}{x^{2}}

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Tercera derivada [src]

          cos(x)     3          cos(x)                                                                                   cos(x)  2     3            cos(x)     2          cos(x)     3                                                                   cos(x)     3       2       2          cos(x)     2                          cos(x)     3                 
  2    4*5      *asin (x)   24*5      *asin(x)    cos(x)     4                     cos(x)     4       3       3      12*5      *x *asin (x)   36*x*5      *asin (x)   12*5      *asin (x)*cos(x)*log(5)      cos(x)     4       2                    12*5      *asin (x)*log (5)*sin (x)   36*5      *asin (x)*log(5)*sin(x)   12*x*5      *asin (x)*log(5)*sin(x)
- -- + ------------------ + ------------------ + 5      *asin (x)*log(5)*sin(x) - 5      *asin (x)*log (5)*sin (x) + ---------------------- + --------------------- - --------------------------------- + 3*5      *asin (x)*log (5)*cos(x)*sin(x) + ----------------------------------- + --------------------------------- - -----------------------------------
   3              3/2                  3/2                                                                                        5/2                        2                      ________                                                                        ________                                  2                                    3/2            
  x       /     2\             /     2\                                                                                   /     2\                  /      2\                      /      2                                                                        /      2                             -1 + x                             /     2\               
          \1 - x /             \1 - x /                                                                                   \1 - x /                  \-1 + x /                    \/  1 - x                                                                       \/  1 - x                                                                 \1 - x /

\frac{12 \cdot 5^{\cos{\left(x \right)}} x^{2} \operatorname{asin}^{3}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{36 \cdot 5^{\cos{\left(x \right)}} x \operatorname{asin}^{2}{\left(x \right)}}{\left(x^{2} - 1\right)^{2}} - \frac{12 \cdot 5^{\cos{\left(x \right)}} x \log{\left(5 \right)} \sin{\left(x \right)} \operatorname{asin}^{3}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 5^{\cos{\left(x \right)}} \log{\left(5 \right)}^{3} \sin^{3}{\left(x \right)} \operatorname{asin}^{4}{\left(x \right)} + 3 \cdot 5^{\cos{\left(x \right)}} \log{\left(5 \right)}^{2} \sin{\left(x \right)} \cos{\left(x \right)} \operatorname{asin}^{4}{\left(x \right)} + 5^{\cos{\left(x \right)}} \log{\left(5 \right)} \sin{\left(x \right)} \operatorname{asin}^{4}{\left(x \right)} + \frac{36 \cdot 5^{\cos{\left(x \right)}} \log{\left(5 \right)} \sin{\left(x \right)} \operatorname{asin}^{2}{\left(x \right)}}{x^{2} - 1} + \frac{12 \cdot 5^{\cos{\left(x \right)}} \log{\left(5 \right)}^{2} \sin^{2}{\left(x \right)} \operatorname{asin}^{3}{\left(x \right)}}{\sqrt{1 - x^{2}}} - \frac{12 \cdot 5^{\cos{\left(x \right)}} \log{\left(5 \right)} \cos{\left(x \right)} \operatorname{asin}^{3}{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{4 \cdot 5^{\cos{\left(x \right)}} \operatorname{asin}^{3}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{24 \cdot 5^{\cos{\left(x \right)}} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{2}{x^{3}}

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Gráfico

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Derivada de y=arcsin^4x*5^cosx-lnx

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