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 1/(x+3)
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Derivada de 4*y
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Derivada de (-1)/x-3*x
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Derivada de y=csc(3x²+1)
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Expresiones idénticas
- y= cinco ^tgx*arcsin9x
- y es igual a 5 en el grado tgx multiplicar por arc seno de 9x
- y es igual a cinco en el grado tgx multiplicar por arc seno de 9x
- y=5tgx*arcsin9x
- y=5^tgxarcsin9x
- y=5tgxarcsin9x
Derivada de y=5^tgx*arcsin9x
Solución
Ha introducido
[src]
tan(x) 5 *asin(9*x)
$$5^{\tan{\left(x \right)}} \operatorname{asin}{\left(9 x \right)}$$
5^tan(x)*asin(9*x)
Primera derivada
[src]
tan(x) 9*5 tan(x) / 2 \ -------------- + 5 *\1 + tan (x)/*asin(9*x)*log(5) ___________ / 2 \/ 1 - 81*x
$$5^{\tan{\left(x \right)}} \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)} \operatorname{asin}{\left(9 x \right)} + \frac{9 \cdot 5^{\tan{\left(x \right)}}}{\sqrt{1 - 81 x^{2}}}$$
Segunda derivada
[src]
/ / 2 \ \
tan(x) | 729*x 18*\1 + tan (x)/*log(5) / 2 \ / / 2 \ \ |
5 *|-------------- + ----------------------- + \1 + tan (x)/*\2*tan(x) + \1 + tan (x)/*log(5)/*asin(9*x)*log(5)|
| 3/2 ___________ |
|/ 2\ / 2 |
\\1 - 81*x / \/ 1 - 81*x /
$$5^{\tan{\left(x \right)}} \left(\frac{729 x}{\left(1 - 81 x^{2}\right)^{\frac{3}{2}}} + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)} + 2 \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)} \operatorname{asin}{\left(9 x \right)} + \frac{18 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)}}{\sqrt{1 - 81 x^{2}}}\right)$$
Tercera derivada
[src]
/ / 2 \ \
| | 243*x | |
| 729*|-1 + ----------| |
| | 2| / 2 \ / 2 \ / / 2 \ \ / 2 \ |
tan(x) | \ -1 + 81*x / / 2 \ | 2 / 2 \ 2 / 2 \ | 27*\1 + tan (x)/*\2*tan(x) + \1 + tan (x)/*log(5)/*log(5) 2187*x*\1 + tan (x)/*log(5)|
5 *|- --------------------- + \1 + tan (x)/*\2 + 6*tan (x) + \1 + tan (x)/ *log (5) + 6*\1 + tan (x)/*log(5)*tan(x)/*asin(9*x)*log(5) + --------------------------------------------------------- + ---------------------------|
| 3/2 ___________ 3/2 |
| / 2\ / 2 / 2\ |
\ \1 - 81*x / \/ 1 - 81*x \1 - 81*x / /
$$5^{\tan{\left(x \right)}} \left(\frac{2187 x \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)}}{\left(1 - 81 x^{2}\right)^{\frac{3}{2}}} + \left(\tan^{2}{\left(x \right)} + 1\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(5 \right)}^{2} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)} \tan{\left(x \right)} + 6 \tan^{2}{\left(x \right)} + 2\right) \log{\left(5 \right)} \operatorname{asin}{\left(9 x \right)} + \frac{27 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)} + 2 \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)}}{\sqrt{1 - 81 x^{2}}} - \frac{729 \left(\frac{243 x^{2}}{81 x^{2} - 1} - 1\right)}{\left(1 - 81 x^{2}\right)^{\frac{3}{2}}}\right)$$
Gráfico