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 -2x
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Derivada de (sqrt(x)-1)/sqrt(x^2-x-1)
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Derivada de 7*x
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Derivada de √x
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Expresiones idénticas
- y=(cos(sqrt(x)))^(tg(7x))
- y es igual a ( coseno de ( raíz cuadrada de (x))) en el grado (tg(7x))
- y=(cos(√(x)))^(tg(7x))
- y=(cos(sqrt(x)))(tg(7x))
- y=cossqrtxtg7x
- y=cossqrtx^tg7x
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Expresiones con funciones
- Coseno cos
- cos(x)/((5*x^2))
- cos(x)^(5)
- cos(x)^(25)
- cos(x)/3
- cos(x)/5
- Raíz cuadrada sqrt
- sqrt(1/x)
- sqrt(x)-(x^2-x-1)/sqrt(x)
- sqrt(2-x^2)
- sqrt(3x+2)
- sqrt(3-x)
- tg
- tgx/x
- tgx-9x
- tg(x)^3
- tg(sinx)
- tg^3(2x)
Derivada de y=(cos(sqrt(x)))^(tg(7x))
Solución
Ha introducido
[src]
tan(7*x)/ ___\ cos \\/ x /
$$\cos^{\tan{\left(7 x \right)}}{\left(\sqrt{x} \right)}$$
cos(sqrt(x))^tan(7*x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ / ___\ \
tan(7*x)/ ___\ |/ 2 \ / / ___\\ sin\\/ x /*tan(7*x)|
cos \\/ x /*|\7 + 7*tan (7*x)/*log\cos\\/ x // - -------------------|
| ___ / ___\|
\ 2*\/ x *cos\\/ x //
$$\left(\left(7 \tan^{2}{\left(7 x \right)} + 7\right) \log{\left(\cos{\left(\sqrt{x} \right)} \right)} - \frac{\sin{\left(\sqrt{x} \right)} \tan{\left(7 x \right)}}{2 \sqrt{x} \cos{\left(\sqrt{x} \right)}}\right) \cos^{\tan{\left(7 x \right)}}{\left(\sqrt{x} \right)}$$
Segunda derivada
[src]
/ 2 \
|/ / ___\ \ |
|| / 2 \ / / ___\\ sin\\/ x /*tan(7*x)| |
||14*\1 + tan (7*x)/*log\cos\\/ x // - -------------------| |
|| ___ / ___\ | / 2 \ / ___\ 2/ ___\ / ___\ |
tan(7*x)/ ___\ |\ \/ x *cos\\/ x / / tan(7*x) / 2 \ / / ___\\ 7*\1 + tan (7*x)/*sin\\/ x / sin \\/ x /*tan(7*x) sin\\/ x /*tan(7*x)|
cos \\/ x /*|----------------------------------------------------------- - -------- + 98*\1 + tan (7*x)/*log\cos\\/ x //*tan(7*x) - ---------------------------- - -------------------- + -------------------|
| 4 4*x ___ / ___\ 2/ ___\ 3/2 / ___\ |
\ \/ x *cos\\/ x / 4*x*cos \\/ x / 4*x *cos\\/ x / /
$$\left(\frac{\left(14 \left(\tan^{2}{\left(7 x \right)} + 1\right) \log{\left(\cos{\left(\sqrt{x} \right)} \right)} - \frac{\sin{\left(\sqrt{x} \right)} \tan{\left(7 x \right)}}{\sqrt{x} \cos{\left(\sqrt{x} \right)}}\right)^{2}}{4} + 98 \left(\tan^{2}{\left(7 x \right)} + 1\right) \log{\left(\cos{\left(\sqrt{x} \right)} \right)} \tan{\left(7 x \right)} - \frac{\sin^{2}{\left(\sqrt{x} \right)} \tan{\left(7 x \right)}}{4 x \cos^{2}{\left(\sqrt{x} \right)}} - \frac{\tan{\left(7 x \right)}}{4 x} - \frac{7 \left(\tan^{2}{\left(7 x \right)} + 1\right) \sin{\left(\sqrt{x} \right)}}{\sqrt{x} \cos{\left(\sqrt{x} \right)}} + \frac{\sin{\left(\sqrt{x} \right)} \tan{\left(7 x \right)}}{4 x^{\frac{3}{2}} \cos{\left(\sqrt{x} \right)}}\right) \cos^{\tan{\left(7 x \right)}}{\left(\sqrt{x} \right)}$$
Tercera derivada
[src]
/ 3 \
|/ / ___\ \ / / ___\ \ / 2/ ___\ / ___\ / 2 \ / ___\\ |
|| / 2 \ / / ___\\ sin\\/ x /*tan(7*x)| | / 2 \ / / ___\\ sin\\/ x /*tan(7*x)| |tan(7*x) / 2 \ / / ___\\ sin \\/ x /*tan(7*x) sin\\/ x /*tan(7*x) 28*\1 + tan (7*x)/*sin\\/ x /| |
||14*\1 + tan (7*x)/*log\cos\\/ x // - -------------------| 3*|14*\1 + tan (7*x)/*log\cos\\/ x // - -------------------|*|-------- - 392*\1 + tan (7*x)/*log\cos\\/ x //*tan(7*x) + -------------------- - ------------------- + -----------------------------| |
|| ___ / ___\ | 2 / 2 \ | ___ / ___\ | | x 2/ ___\ 3/2 / ___\ ___ / ___\ | 2/ ___\ / 2 \ / ___\ / ___\ 3/ ___\ 2/ ___\ / 2 \ / ___\ / 2 \ / ___\ |
tan(7*x)/ ___\ |\ \/ x *cos\\/ x / / / 2 \ / / ___\\ 21*\1 + tan (7*x)/ \ \/ x *cos\\/ x / / \ x*cos \\/ x / x *cos\\/ x / \/ x *cos\\/ x / / 3*tan(7*x) 2 / 2 \ / / ___\\ 21*sin \\/ x /*\1 + tan (7*x)/ 3*sin\\/ x /*tan(7*x) sin\\/ x /*tan(7*x) sin \\/ x /*tan(7*x) 3*sin \\/ x /*tan(7*x) 21*\1 + tan (7*x)/*sin\\/ x / 147*\1 + tan (7*x)/*sin\\/ x /*tan(7*x)|
cos \\/ x /*|----------------------------------------------------------- + 686*\1 + tan (7*x)/ *log\cos\\/ x // - ------------------ - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------- + 1372*tan (7*x)*\1 + tan (7*x)/*log\cos\\/ x // - ------------------------------ - --------------------- - ------------------- - -------------------- + ---------------------- + ----------------------------- - ---------------------------------------|
| 8 4*x 8 2 2/ ___\ 5/2 / ___\ 3/2 / ___\ 3/2 3/ ___\ 2 2/ ___\ 3/2 / ___\ ___ / ___\ |
\ 8*x 4*x*cos \\/ x / 8*x *cos\\/ x / 4*x *cos\\/ x / 4*x *cos \\/ x / 8*x *cos \\/ x / 4*x *cos\\/ x / \/ x *cos\\/ x / /
$$\left(\frac{\left(14 \left(\tan^{2}{\left(7 x \right)} + 1\right) \log{\left(\cos{\left(\sqrt{x} \right)} \right)} - \frac{\sin{\left(\sqrt{x} \right)} \tan{\left(7 x \right)}}{\sqrt{x} \cos{\left(\sqrt{x} \right)}}\right)^{3}}{8} - \frac{3 \left(14 \left(\tan^{2}{\left(7 x \right)} + 1\right) \log{\left(\cos{\left(\sqrt{x} \right)} \right)} - \frac{\sin{\left(\sqrt{x} \right)} \tan{\left(7 x \right)}}{\sqrt{x} \cos{\left(\sqrt{x} \right)}}\right) \left(- 392 \left(\tan^{2}{\left(7 x \right)} + 1\right) \log{\left(\cos{\left(\sqrt{x} \right)} \right)} \tan{\left(7 x \right)} + \frac{\sin^{2}{\left(\sqrt{x} \right)} \tan{\left(7 x \right)}}{x \cos^{2}{\left(\sqrt{x} \right)}} + \frac{\tan{\left(7 x \right)}}{x} + \frac{28 \left(\tan^{2}{\left(7 x \right)} + 1\right) \sin{\left(\sqrt{x} \right)}}{\sqrt{x} \cos{\left(\sqrt{x} \right)}} - \frac{\sin{\left(\sqrt{x} \right)} \tan{\left(7 x \right)}}{x^{\frac{3}{2}} \cos{\left(\sqrt{x} \right)}}\right)}{8} + 686 \left(\tan^{2}{\left(7 x \right)} + 1\right)^{2} \log{\left(\cos{\left(\sqrt{x} \right)} \right)} + 1372 \left(\tan^{2}{\left(7 x \right)} + 1\right) \log{\left(\cos{\left(\sqrt{x} \right)} \right)} \tan^{2}{\left(7 x \right)} - \frac{21 \left(\tan^{2}{\left(7 x \right)} + 1\right) \sin^{2}{\left(\sqrt{x} \right)}}{4 x \cos^{2}{\left(\sqrt{x} \right)}} - \frac{21 \left(\tan^{2}{\left(7 x \right)} + 1\right)}{4 x} + \frac{3 \sin^{2}{\left(\sqrt{x} \right)} \tan{\left(7 x \right)}}{8 x^{2} \cos^{2}{\left(\sqrt{x} \right)}} + \frac{3 \tan{\left(7 x \right)}}{8 x^{2}} - \frac{147 \left(\tan^{2}{\left(7 x \right)} + 1\right) \sin{\left(\sqrt{x} \right)} \tan{\left(7 x \right)}}{\sqrt{x} \cos{\left(\sqrt{x} \right)}} + \frac{21 \left(\tan^{2}{\left(7 x \right)} + 1\right) \sin{\left(\sqrt{x} \right)}}{4 x^{\frac{3}{2}} \cos{\left(\sqrt{x} \right)}} - \frac{\sin^{3}{\left(\sqrt{x} \right)} \tan{\left(7 x \right)}}{4 x^{\frac{3}{2}} \cos^{3}{\left(\sqrt{x} \right)}} - \frac{\sin{\left(\sqrt{x} \right)} \tan{\left(7 x \right)}}{4 x^{\frac{3}{2}} \cos{\left(\sqrt{x} \right)}} - \frac{3 \sin{\left(\sqrt{x} \right)} \tan{\left(7 x \right)}}{8 x^{\frac{5}{2}} \cos{\left(\sqrt{x} \right)}}\right) \cos^{\tan{\left(7 x \right)}}{\left(\sqrt{x} \right)}$$
Gráfico