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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- Derivada de:
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Derivada de -5*tan(2*t)-4*cot(4*t)
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Derivada de (3*sqrt(v)-2*v*e^v)/v
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Derivada de 3^(x*x)
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Derivada de 2*x-8/x
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Expresiones idénticas
- y=(sin√7x)^tg9x
- y es igual a ( seno de √7x) en el grado tg9x
- y=(sin√7x)tg9x
- y=sin√7xtg9x
- y=sin√7x^tg9x
Derivada de y=(sin√7x)^tg9x
Solución
Ha introducido
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tan(9*x)/ _____\ sin \\/ 7*x /
$$\sin^{\tan{\left(9 x \right)}}{\left(\sqrt{7 x} \right)}$$
sin(sqrt(7*x))^tan(9*x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
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/ ___ / _____\ \
tan(9*x)/ _____\ |/ 2 \ / / _____\\ \/ 7 *cos\\/ 7*x /*tan(9*x)|
sin \\/ 7*x /*|\9 + 9*tan (9*x)/*log\sin\\/ 7*x // + ---------------------------|
| ___ / _____\ |
\ 2*\/ x *sin\\/ 7*x / /
$$\left(\left(9 \tan^{2}{\left(9 x \right)} + 9\right) \log{\left(\sin{\left(\sqrt{7 x} \right)} \right)} + \frac{\sqrt{7} \cos{\left(\sqrt{7 x} \right)} \tan{\left(9 x \right)}}{2 \sqrt{x} \sin{\left(\sqrt{7 x} \right)}}\right) \sin^{\tan{\left(9 x \right)}}{\left(\sqrt{7 x} \right)}$$
Segunda derivada
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/ 2 \
|/ ___ / _____\ \ |
|| / 2 \ / / _____\\ \/ 7 *cos\\/ 7*x /*tan(9*x)| |
||18*\1 + tan (9*x)/*log\sin\\/ 7*x // + ---------------------------| |
|| ___ / _____\ | 2/ _____\ ___ / 2 \ / _____\ ___ / _____\ |
tan(9*x)/ _____\ |\ \/ x *sin\\/ 7*x / / 7*tan(9*x) / 2 \ / / _____\\ 7*cos \\/ 7*x /*tan(9*x) 9*\/ 7 *\1 + tan (9*x)/*cos\\/ 7*x / \/ 7 *cos\\/ 7*x /*tan(9*x)|
sin \\/ 7*x /*|--------------------------------------------------------------------- - ---------- + 162*\1 + tan (9*x)/*log\sin\\/ 7*x //*tan(9*x) - ------------------------ + ------------------------------------ - ---------------------------|
| 4 4*x 2/ _____\ ___ / _____\ 3/2 / _____\ |
\ 4*x*sin \\/ 7*x / \/ x *sin\\/ 7*x / 4*x *sin\\/ 7*x / /
$$\left(\frac{\left(18 \left(\tan^{2}{\left(9 x \right)} + 1\right) \log{\left(\sin{\left(\sqrt{7 x} \right)} \right)} + \frac{\sqrt{7} \cos{\left(\sqrt{7 x} \right)} \tan{\left(9 x \right)}}{\sqrt{x} \sin{\left(\sqrt{7 x} \right)}}\right)^{2}}{4} + 162 \left(\tan^{2}{\left(9 x \right)} + 1\right) \log{\left(\sin{\left(\sqrt{7 x} \right)} \right)} \tan{\left(9 x \right)} - \frac{7 \tan{\left(9 x \right)}}{4 x} - \frac{7 \cos^{2}{\left(\sqrt{7 x} \right)} \tan{\left(9 x \right)}}{4 x \sin^{2}{\left(\sqrt{7 x} \right)}} + \frac{9 \sqrt{7} \left(\tan^{2}{\left(9 x \right)} + 1\right) \cos{\left(\sqrt{7 x} \right)}}{\sqrt{x} \sin{\left(\sqrt{7 x} \right)}} - \frac{\sqrt{7} \cos{\left(\sqrt{7 x} \right)} \tan{\left(9 x \right)}}{4 x^{\frac{3}{2}} \sin{\left(\sqrt{7 x} \right)}}\right) \sin^{\tan{\left(9 x \right)}}{\left(\sqrt{7 x} \right)}$$
Tercera derivada
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/ 3 \
|/ ___ / _____\ \ / ___ / _____\ \ / 2/ _____\ ___ / _____\ ___ / 2 \ / _____\\ |
|| / 2 \ / / _____\\ \/ 7 *cos\\/ 7*x /*tan(9*x)| | / 2 \ / / _____\\ \/ 7 *cos\\/ 7*x /*tan(9*x)| |7*tan(9*x) / 2 \ / / _____\\ 7*cos \\/ 7*x /*tan(9*x) \/ 7 *cos\\/ 7*x /*tan(9*x) 36*\/ 7 *\1 + tan (9*x)/*cos\\/ 7*x /| |
||18*\1 + tan (9*x)/*log\sin\\/ 7*x // + ---------------------------| 3*|18*\1 + tan (9*x)/*log\sin\\/ 7*x // + ---------------------------|*|---------- - 648*\1 + tan (9*x)/*log\sin\\/ 7*x //*tan(9*x) + ------------------------ + --------------------------- - -------------------------------------| |
|| ___ / _____\ | 2 / 2 \ | ___ / _____\ | | x 2/ _____\ 3/2 / _____\ ___ / _____\ | 2/ _____\ / 2 \ 2/ _____\ ___ / 2 \ / _____\ ___ / _____\ ___ 3/ _____\ ___ / _____\ ___ / 2 \ / _____\ |
tan(9*x)/ _____\ |\ \/ x *sin\\/ 7*x / / / 2 \ / / _____\\ 189*\1 + tan (9*x)/ \ \/ x *sin\\/ 7*x / / \ x*sin \\/ 7*x / x *sin\\/ 7*x / \/ x *sin\\/ 7*x / / 21*tan(9*x) 2 / 2 \ / / _____\\ 189*cos \\/ 7*x /*\1 + tan (9*x)/ 21*cos \\/ 7*x /*tan(9*x) 27*\/ 7 *\1 + tan (9*x)/*cos\\/ 7*x / 3*\/ 7 *cos\\/ 7*x /*tan(9*x) 7*\/ 7 *cos \\/ 7*x /*tan(9*x) 7*\/ 7 *cos\\/ 7*x /*tan(9*x) 243*\/ 7 *\1 + tan (9*x)/*cos\\/ 7*x /*tan(9*x)|
sin \\/ 7*x /*|--------------------------------------------------------------------- + 1458*\1 + tan (9*x)/ *log\sin\\/ 7*x // - ------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------- + 2916*tan (9*x)*\1 + tan (9*x)/*log\sin\\/ 7*x // - --------------------------------- + ------------------------- - ------------------------------------- + ----------------------------- + ------------------------------ + ----------------------------- + -----------------------------------------------|
| 8 4*x 8 2 2/ _____\ 2 2/ _____\ 3/2 / _____\ 5/2 / _____\ 3/2 3/ _____\ 3/2 / _____\ ___ / _____\ |
\ 8*x 4*x*sin \\/ 7*x / 8*x *sin \\/ 7*x / 4*x *sin\\/ 7*x / 8*x *sin\\/ 7*x / 4*x *sin \\/ 7*x / 4*x *sin\\/ 7*x / \/ x *sin\\/ 7*x / /
$$\left(\frac{\left(18 \left(\tan^{2}{\left(9 x \right)} + 1\right) \log{\left(\sin{\left(\sqrt{7 x} \right)} \right)} + \frac{\sqrt{7} \cos{\left(\sqrt{7 x} \right)} \tan{\left(9 x \right)}}{\sqrt{x} \sin{\left(\sqrt{7 x} \right)}}\right)^{3}}{8} - \frac{3 \left(18 \left(\tan^{2}{\left(9 x \right)} + 1\right) \log{\left(\sin{\left(\sqrt{7 x} \right)} \right)} + \frac{\sqrt{7} \cos{\left(\sqrt{7 x} \right)} \tan{\left(9 x \right)}}{\sqrt{x} \sin{\left(\sqrt{7 x} \right)}}\right) \left(- 648 \left(\tan^{2}{\left(9 x \right)} + 1\right) \log{\left(\sin{\left(\sqrt{7 x} \right)} \right)} \tan{\left(9 x \right)} + \frac{7 \tan{\left(9 x \right)}}{x} + \frac{7 \cos^{2}{\left(\sqrt{7 x} \right)} \tan{\left(9 x \right)}}{x \sin^{2}{\left(\sqrt{7 x} \right)}} - \frac{36 \sqrt{7} \left(\tan^{2}{\left(9 x \right)} + 1\right) \cos{\left(\sqrt{7 x} \right)}}{\sqrt{x} \sin{\left(\sqrt{7 x} \right)}} + \frac{\sqrt{7} \cos{\left(\sqrt{7 x} \right)} \tan{\left(9 x \right)}}{x^{\frac{3}{2}} \sin{\left(\sqrt{7 x} \right)}}\right)}{8} + 1458 \left(\tan^{2}{\left(9 x \right)} + 1\right)^{2} \log{\left(\sin{\left(\sqrt{7 x} \right)} \right)} + 2916 \left(\tan^{2}{\left(9 x \right)} + 1\right) \log{\left(\sin{\left(\sqrt{7 x} \right)} \right)} \tan^{2}{\left(9 x \right)} - \frac{189 \left(\tan^{2}{\left(9 x \right)} + 1\right)}{4 x} - \frac{189 \left(\tan^{2}{\left(9 x \right)} + 1\right) \cos^{2}{\left(\sqrt{7 x} \right)}}{4 x \sin^{2}{\left(\sqrt{7 x} \right)}} + \frac{21 \tan{\left(9 x \right)}}{8 x^{2}} + \frac{21 \cos^{2}{\left(\sqrt{7 x} \right)} \tan{\left(9 x \right)}}{8 x^{2} \sin^{2}{\left(\sqrt{7 x} \right)}} + \frac{243 \sqrt{7} \left(\tan^{2}{\left(9 x \right)} + 1\right) \cos{\left(\sqrt{7 x} \right)} \tan{\left(9 x \right)}}{\sqrt{x} \sin{\left(\sqrt{7 x} \right)}} - \frac{27 \sqrt{7} \left(\tan^{2}{\left(9 x \right)} + 1\right) \cos{\left(\sqrt{7 x} \right)}}{4 x^{\frac{3}{2}} \sin{\left(\sqrt{7 x} \right)}} + \frac{7 \sqrt{7} \cos{\left(\sqrt{7 x} \right)} \tan{\left(9 x \right)}}{4 x^{\frac{3}{2}} \sin{\left(\sqrt{7 x} \right)}} + \frac{7 \sqrt{7} \cos^{3}{\left(\sqrt{7 x} \right)} \tan{\left(9 x \right)}}{4 x^{\frac{3}{2}} \sin^{3}{\left(\sqrt{7 x} \right)}} + \frac{3 \sqrt{7} \cos{\left(\sqrt{7 x} \right)} \tan{\left(9 x \right)}}{8 x^{\frac{5}{2}} \sin{\left(\sqrt{7 x} \right)}}\right) \sin^{\tan{\left(9 x \right)}}{\left(\sqrt{7 x} \right)}$$
Gráfico