Sr Examen
Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
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¿Cómo usar?
- Derivada de:
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Derivada de x^-(4/5)
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Derivada de x^-8
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Derivada de x^2/lnx
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Derivada de √x+2
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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
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Expresiones semejantes
- y=arcsin^4x*5^cosx+lnx
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Expresiones con funciones
- arcsin
- arcsin(x)^sqrt(1-x^2)
- arcsin2^x
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)
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
$$- 5^{\cos{\left(x \right)}} \log{\left(5 \right)} \sin{\left(x \right)} \operatorname{asin}^{4}{\left(x \right)} + \frac{4 \cdot 5^{\cos{\left(x \right)}} \operatorname{asin}^{3}{\left(x \right)}}{\sqrt{1 - x^{2}}} - \frac{1}{x}$$
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
$$\frac{4 \cdot 5^{\cos{\left(x \right)}} x \operatorname{asin}^{3}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 5^{\cos{\left(x \right)}} \log{\left(5 \right)}^{2} \sin^{2}{\left(x \right)} \operatorname{asin}^{4}{\left(x \right)} - 5^{\cos{\left(x \right)}} \log{\left(5 \right)} \cos{\left(x \right)} \operatorname{asin}^{4}{\left(x \right)} - \frac{12 \cdot 5^{\cos{\left(x \right)}} \operatorname{asin}^{2}{\left(x \right)}}{x^{2} - 1} - \frac{8 \cdot 5^{\cos{\left(x \right)}} \log{\left(5 \right)} \sin{\left(x \right)} \operatorname{asin}^{3}{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{1}{x^{2}}$$
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 /
$$\frac{12 \cdot 5^{\cos{\left(x \right)}} x^{2} \operatorname{asin}^{3}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{36 \cdot 5^{\cos{\left(x \right)}} x \operatorname{asin}^{2}{\left(x \right)}}{\left(x^{2} - 1\right)^{2}} - \frac{12 \cdot 5^{\cos{\left(x \right)}} x \log{\left(5 \right)} \sin{\left(x \right)} \operatorname{asin}^{3}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 5^{\cos{\left(x \right)}} \log{\left(5 \right)}^{3} \sin^{3}{\left(x \right)} \operatorname{asin}^{4}{\left(x \right)} + 3 \cdot 5^{\cos{\left(x \right)}} \log{\left(5 \right)}^{2} \sin{\left(x \right)} \cos{\left(x \right)} \operatorname{asin}^{4}{\left(x \right)} + 5^{\cos{\left(x \right)}} \log{\left(5 \right)} \sin{\left(x \right)} \operatorname{asin}^{4}{\left(x \right)} + \frac{36 \cdot 5^{\cos{\left(x \right)}} \log{\left(5 \right)} \sin{\left(x \right)} \operatorname{asin}^{2}{\left(x \right)}}{x^{2} - 1} + \frac{12 \cdot 5^{\cos{\left(x \right)}} \log{\left(5 \right)}^{2} \sin^{2}{\left(x \right)} \operatorname{asin}^{3}{\left(x \right)}}{\sqrt{1 - x^{2}}} - \frac{12 \cdot 5^{\cos{\left(x \right)}} \log{\left(5 \right)} \cos{\left(x \right)} \operatorname{asin}^{3}{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{4 \cdot 5^{\cos{\left(x \right)}} \operatorname{asin}^{3}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{24 \cdot 5^{\cos{\left(x \right)}} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{2}{x^{3}}$$
Gráfico