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=(3x- cinco)^√tg3x
- y es igual a (3x menos 5) en el grado √tg3x
- y es igual a (3x menos cinco) en el grado √tg3x
- y=(3x-5)√tg3x
- y=3x-5√tg3x
- y=3x-5^√tg3x
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Expresiones semejantes
- y=(3x+5)^√tg3x
Derivada de y=(3x-5)^√tg3x
Solución
Ha introducido
[src]
__________
\/ tan(3*x)
(3*x - 5)
$$\left(3 x - 5\right)^{\sqrt{\tan{\left(3 x \right)}}}$$
(3*x - 5)^(sqrt(tan(3*x)))
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
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Simplificamos:
Respuesta:
Primera derivada
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/ / 2 \ \
| |3 3*tan (3*x)| |
__________ | __________ |- + -----------|*log(3*x - 5)|
\/ tan(3*x) |3*\/ tan(3*x) \2 2 / |
(3*x - 5) *|-------------- + ------------------------------|
| 3*x - 5 __________ |
\ \/ tan(3*x) /
$$\left(3 x - 5\right)^{\sqrt{\tan{\left(3 x \right)}}} \left(\frac{\left(\frac{3 \tan^{2}{\left(3 x \right)}}{2} + \frac{3}{2}\right) \log{\left(3 x - 5 \right)}}{\sqrt{\tan{\left(3 x \right)}}} + \frac{3 \sqrt{\tan{\left(3 x \right)}}}{3 x - 5}\right)$$
Segunda derivada
[src]
/ 2 \
|/ __________ / 2 \ \ |
||2*\/ tan(3*x) \1 + tan (3*x)/*log(-5 + 3*x)| |
||-------------- + -----------------------------| 2 |
__________ || -5 + 3*x __________ | __________ 2 / 2 \ |
\/ tan(3*x) |\ \/ tan(3*x) / \/ tan(3*x) 1 + tan (3*x) __________ / 2 \ \1 + tan (3*x)/ *log(-5 + 3*x)|
9*(-5 + 3*x) *|------------------------------------------------- - ------------ + ----------------------- + \/ tan(3*x) *\1 + tan (3*x)/*log(-5 + 3*x) - ------------------------------|
| 4 2 __________ 3/2 |
\ (-5 + 3*x) (-5 + 3*x)*\/ tan(3*x) 4*tan (3*x) /
$$9 \left(3 x - 5\right)^{\sqrt{\tan{\left(3 x \right)}}} \left(\frac{\left(\frac{\left(\tan^{2}{\left(3 x \right)} + 1\right) \log{\left(3 x - 5 \right)}}{\sqrt{\tan{\left(3 x \right)}}} + \frac{2 \sqrt{\tan{\left(3 x \right)}}}{3 x - 5}\right)^{2}}{4} - \frac{\left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \log{\left(3 x - 5 \right)}}{4 \tan^{\frac{3}{2}}{\left(3 x \right)}} + \left(\tan^{2}{\left(3 x \right)} + 1\right) \log{\left(3 x - 5 \right)} \sqrt{\tan{\left(3 x \right)}} + \frac{\tan^{2}{\left(3 x \right)} + 1}{\left(3 x - 5\right) \sqrt{\tan{\left(3 x \right)}}} - \frac{\sqrt{\tan{\left(3 x \right)}}}{\left(3 x - 5\right)^{2}}\right)$$
Tercera derivada
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/ 3 / 2 \ \
|/ __________ / 2 \ \ / __________ / 2 \ \ | __________ / 2 \ / 2 \ | |
||2*\/ tan(3*x) \1 + tan (3*x)/*log(-5 + 3*x)| |2*\/ tan(3*x) \1 + tan (3*x)/*log(-5 + 3*x)| |4*\/ tan(3*x) \1 + tan (3*x)/ *log(-5 + 3*x) 4*\1 + tan (3*x)/ __________ / 2 \ | |
||-------------- + -----------------------------| 3*|-------------- + -----------------------------|*|-------------- + ------------------------------ - ----------------------- - 4*\/ tan(3*x) *\1 + tan (3*x)/*log(-5 + 3*x)| 2 2 3 |
__________ || -5 + 3*x __________ | __________ | -5 + 3*x __________ | | 2 3/2 __________ | __________ / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ |
\/ tan(3*x) |\ \/ tan(3*x) / 2*\/ tan(3*x) \ \/ tan(3*x) / \ (-5 + 3*x) tan (3*x) (-5 + 3*x)*\/ tan(3*x) / 3/2 / 2 \ 3*\/ tan(3*x) *\1 + tan (3*x)/ 3*\1 + tan (3*x)/ 3*\1 + tan (3*x)/ \1 + tan (3*x)/ *log(-5 + 3*x) 3*\1 + tan (3*x)/ *log(-5 + 3*x)|
27*(-5 + 3*x) *|------------------------------------------------- + -------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + 2*tan (3*x)*\1 + tan (3*x)/*log(-5 + 3*x) + ------------------------------ - -------------------------- - ------------------------ - ------------------------------ + --------------------------------|
| 8 3 8 -5 + 3*x 2 __________ 3/2 __________ 5/2 |
\ (-5 + 3*x) 2*(-5 + 3*x) *\/ tan(3*x) 4*(-5 + 3*x)*tan (3*x) 2*\/ tan(3*x) 8*tan (3*x) /
$$27 \left(3 x - 5\right)^{\sqrt{\tan{\left(3 x \right)}}} \left(\frac{\left(\frac{\left(\tan^{2}{\left(3 x \right)} + 1\right) \log{\left(3 x - 5 \right)}}{\sqrt{\tan{\left(3 x \right)}}} + \frac{2 \sqrt{\tan{\left(3 x \right)}}}{3 x - 5}\right)^{3}}{8} - \frac{3 \left(\frac{\left(\tan^{2}{\left(3 x \right)} + 1\right) \log{\left(3 x - 5 \right)}}{\sqrt{\tan{\left(3 x \right)}}} + \frac{2 \sqrt{\tan{\left(3 x \right)}}}{3 x - 5}\right) \left(\frac{\left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \log{\left(3 x - 5 \right)}}{\tan^{\frac{3}{2}}{\left(3 x \right)}} - 4 \left(\tan^{2}{\left(3 x \right)} + 1\right) \log{\left(3 x - 5 \right)} \sqrt{\tan{\left(3 x \right)}} - \frac{4 \left(\tan^{2}{\left(3 x \right)} + 1\right)}{\left(3 x - 5\right) \sqrt{\tan{\left(3 x \right)}}} + \frac{4 \sqrt{\tan{\left(3 x \right)}}}{\left(3 x - 5\right)^{2}}\right)}{8} + \frac{3 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{3} \log{\left(3 x - 5 \right)}}{8 \tan^{\frac{5}{2}}{\left(3 x \right)}} - \frac{\left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \log{\left(3 x - 5 \right)}}{2 \sqrt{\tan{\left(3 x \right)}}} + 2 \left(\tan^{2}{\left(3 x \right)} + 1\right) \log{\left(3 x - 5 \right)} \tan^{\frac{3}{2}}{\left(3 x \right)} - \frac{3 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2}}{4 \left(3 x - 5\right) \tan^{\frac{3}{2}}{\left(3 x \right)}} + \frac{3 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sqrt{\tan{\left(3 x \right)}}}{3 x - 5} - \frac{3 \left(\tan^{2}{\left(3 x \right)} + 1\right)}{2 \left(3 x - 5\right)^{2} \sqrt{\tan{\left(3 x \right)}}} + \frac{2 \sqrt{\tan{\left(3 x \right)}}}{\left(3 x - 5\right)^{3}}\right)$$
Gráfico