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-1)/(x+1)
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Derivada de -3/x
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Derivada de x^2/3
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Derivada de 6
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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
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Expresiones con funciones
- tgx
- tgx/(sinx-cosx)
- tgx/x
- tgx-ctgx
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
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
$$3^{\tan{\left(x \right)}} \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \operatorname{asin}^{4}{\left(7 x \right)} + \frac{28 \cdot 3^{\tan{\left(x \right)}} \operatorname{asin}^{3}{\left(7 x \right)}}{\sqrt{1 - 49 x^{2}}}$$
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 /
$$3^{\tan{\left(x \right)}} \left(\frac{1372 x \operatorname{asin}{\left(7 x \right)}}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} + 2 \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \operatorname{asin}^{2}{\left(7 x \right)} - \frac{588}{49 x^{2} - 1} + \frac{56 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \operatorname{asin}{\left(7 x \right)}}{\sqrt{1 - 49 x^{2}}}\right) \operatorname{asin}^{2}{\left(7 x \right)}$$
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 /
$$3^{\tan{\left(x \right)}} \left(\frac{201684 x^{2} \operatorname{asin}^{2}{\left(7 x \right)}}{\left(1 - 49 x^{2}\right)^{\frac{5}{2}}} + \frac{86436 x \operatorname{asin}{\left(7 x \right)}}{\left(49 x^{2} - 1\right)^{2}} + 588 \left(\frac{7 x \operatorname{asin}{\left(7 x \right)}}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} - \frac{3}{49 x^{2} - 1}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \operatorname{asin}{\left(7 x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(3 \right)}^{2} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \tan{\left(x \right)} + 6 \tan^{2}{\left(x \right)} + 2\right) \log{\left(3 \right)} \operatorname{asin}^{3}{\left(7 x \right)} + \frac{84 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} + 2 \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \operatorname{asin}^{2}{\left(7 x \right)}}{\sqrt{1 - 49 x^{2}}} + \frac{1372 \operatorname{asin}^{2}{\left(7 x \right)}}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} + \frac{8232}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}}\right) \operatorname{asin}{\left(7 x \right)}$$
Gráfico