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=(tg(cos(ln dos +x))*(dos x+2^2))/(tg(x+e^sqrt(2x)))
- y es igual a (tg( coseno de (ln2 más x)) multiplicar por (2x más 2 al cuadrado )) dividir por (tg(x más e en el grado raíz cuadrada de (2x)))
- y es igual a (tg( coseno de (ln dos más x)) multiplicar por (dos x más 2 al cuadrado )) dividir por (tg(x más e en el grado raíz cuadrada de (2x)))
- y=(tg(cos(ln2+x))*(2x+2^2))/(tg(x+e^√(2x)))
- y=(tg(cos(ln2+x))*(2x+22))/(tg(x+esqrt(2x)))
- y=tgcosln2+x*2x+22/tgx+esqrt2x
- y=(tg(cos(ln2+x))*(2x+2²))/(tg(x+e^sqrt(2x)))
- y=(tg(cos(ln2+x))*(2x+2 en el grado 2))/(tg(x+e en el grado sqrt(2x)))
- y=(tg(cos(ln2+x))(2x+2^2))/(tg(x+e^sqrt(2x)))
- y=(tg(cos(ln2+x))(2x+22))/(tg(x+esqrt(2x)))
- y=tgcosln2+x2x+22/tgx+esqrt2x
- y=tgcosln2+x2x+2^2/tgx+e^sqrt2x
- y=(tg(cos(ln2+x))*(2x+2^2)) dividir por (tg(x+e^sqrt(2x)))
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Expresiones semejantes
- y=(tg(cos(ln2+x))*(2x-2^2))/(tg(x+e^sqrt(2x)))
- y=(tg(cos(ln2+x))*(2x+2^2))/(tg(x-e^sqrt(2x)))
- y=(tg(cos(ln2-x))*(2x+2^2))/(tg(x+e^sqrt(2x)))
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Expresiones con funciones
- Coseno cos
- cos^5(2x)*tg(x^6)
- cos(ax)+sin(ax)
- cos(5)^(2)*x
- cos(3*x)*e^sin(x)
- cos(3x)/arccos(x)
- Raíz cuadrada sqrt
- sqrt(x^2+16)+3x
- sqrt(x)*(2*sin(x)+1)
- sqrt(x)/(1+sqrt(x))
- sqrt(5)*sqrt(t)+sqrt(7)/t
- sqrt(5*x+1)
Derivada de y=(tg(cos(ln2+x))*(2x+2^2))/(tg(x+e^sqrt(2x)))
Solución
Ha introducido
[src]
tan(cos(log(2) + x))*(2*x + 4)
------------------------------
/ _____\
| \/ 2*x |
tan\x + E /
$$\frac{\left(2 x + 4\right) \tan{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)}}{\tan{\left(e^{\sqrt{2 x}} + x \right)}}$$
(tan(cos(log(2) + x))*(2*x + 4))/tan(x + E^(sqrt(2*x)))
Primera derivada
[src]
/ _____\
/ / _____\\ | ___ \/ 2*x |
| 2| \/ 2*x || | \/ 2 *e |
\1 + tan \x + E //*|1 + --------------|*(2*x + 4)*tan(cos(log(2) + x))
/ 2 \ | ___ |
2*tan(cos(log(2) + x)) - \1 + tan (cos(log(2) + x))/*(2*x + 4)*sin(log(2) + x) \ 2*\/ x /
------------------------------------------------------------------------------ - ----------------------------------------------------------------------------
/ _____\ / _____\
| \/ 2*x | 2| \/ 2*x |
tan\x + E / tan \x + E /
$$- \frac{\left(1 + \frac{\sqrt{2} e^{\sqrt{2 x}}}{2 \sqrt{x}}\right) \left(2 x + 4\right) \left(\tan^{2}{\left(e^{\sqrt{2 x}} + x \right)} + 1\right) \tan{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)}}{\tan^{2}{\left(e^{\sqrt{2 x}} + x \right)}} + \frac{- \left(2 x + 4\right) \left(\tan^{2}{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)} + 1\right) \sin{\left(x + \log{\left(2 \right)} \right)} + 2 \tan{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)}}{\tan{\left(e^{\sqrt{2 x}} + x \right)}}$$
Segunda derivada
[src]
/ 2 \
| / _____\ |
| / ___\ _____ | ___ \/ 2*x | / / ___ ___\\|
| 2 |2 \/ 2 | \/ 2*x | \/ 2 *e | | 2| \/ 2 *\/ x |||
| / _____\ |- - -----|*e 2*|2 + --------------| *\1 + tan \x + e //|
/ _____\ / / ___ ___\\ | | ___ \/ 2*x | |x 3/2| | ___ | |
/ / ___ ___\\ | ___ \/ 2*x | | 2| \/ 2 *\/ x || | | \/ 2 *e | \ x / \ \/ x / |
| 2| \/ 2 *\/ x || | \/ 2 *e | / / 2 \ \ \1 + tan \x + e //*(2 + x)*|2*|2 + --------------| + --------------------- - ----------------------------------------------------|*tan(cos(x + log(2)))
2*\1 + tan \x + e //*|2 + --------------|*\-tan(cos(x + log(2))) + \1 + tan (cos(x + log(2)))/*(2 + x)*sin(x + log(2))/ | | ___ | / ___ ___\ / ___ ___\ |
| ___ | | \ \/ x / | \/ 2 *\/ x | 2| \/ 2 *\/ x | |
/ 2 \ / / 2 \\ \ \/ x / \ tan\x + e / tan \x + e / /
2*\1 + tan (cos(x + log(2)))/*\-2*sin(x + log(2)) + (2 + x)*\-cos(x + log(2)) + 2*sin (x + log(2))*tan(cos(x + log(2)))// + --------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ ___ ___\ 2
| \/ 2 *\/ x |
tan\x + e /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ ___ ___\
| \/ 2 *\/ x |
tan\x + e /
$$\frac{\frac{2 \left(2 + \frac{\sqrt{2} e^{\sqrt{2 x}}}{\sqrt{x}}\right) \left(\left(x + 2\right) \left(\tan^{2}{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)} + 1\right) \sin{\left(x + \log{\left(2 \right)} \right)} - \tan{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)}\right) \left(\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)} + 1\right)}{\tan{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}} - \frac{\left(x + 2\right) \left(\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)} + 1\right) \left(- \frac{2 \left(2 + \frac{\sqrt{2} e^{\sqrt{2 x}}}{\sqrt{x}}\right)^{2} \left(\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)} + 1\right)}{\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}} + 2 \left(2 + \frac{\sqrt{2} e^{\sqrt{2 x}}}{\sqrt{x}}\right)^{2} + \frac{\left(\frac{2}{x} - \frac{\sqrt{2}}{x^{\frac{3}{2}}}\right) e^{\sqrt{2 x}}}{\tan{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}}\right) \tan{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)}}{2} + 2 \left(\left(x + 2\right) \left(2 \sin^{2}{\left(x + \log{\left(2 \right)} \right)} \tan{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)} - \cos{\left(x + \log{\left(2 \right)} \right)}\right) - 2 \sin{\left(x + \log{\left(2 \right)} \right)}\right) \left(\tan^{2}{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)} + 1\right)}{\tan{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}}$$
Tercera derivada
[src]
/ 3 3 \ / 2 \
| / _____\ 2 / _____\ / _____\ / _____\ | | / _____\ |
| / ___ ___\ _____ | ___ \/ 2*x | / / ___ ___\\ / / ___ ___\\ | ___ \/ 2*x | | ___ \/ 2*x | / ___\ _____ / / ___ ___\\ | ___ \/ 2*x | / ___\ _____| | / ___\ _____ | ___ \/ 2*x | / / ___ ___\\|
| 3 | 6 2*\/ 2 3*\/ 2 | \/ 2*x | \/ 2 *e | | 2| \/ 2 *\/ x || | 2| \/ 2 *\/ x || | \/ 2 *e | | \/ 2 *e | |2 \/ 2 | \/ 2*x | 2| \/ 2 *\/ x || | \/ 2 *e | |2 \/ 2 | \/ 2*x | | 2 |2 \/ 2 | \/ 2*x | \/ 2 *e | | 2| \/ 2 *\/ x |||
| / _____\ |- -- + ------- + -------|*e 10*|2 + --------------| *\1 + tan \x + e // 6*\1 + tan \x + e // *|2 + --------------| 6*|2 + --------------|*|- - -----|*e 6*\1 + tan \x + e //*|2 + --------------|*|- - -----|*e | | / _____\ |- - -----|*e 2*|2 + --------------| *\1 + tan \x + e //|
/ / ___ ___\\ | | ___ \/ 2*x | | 2 3/2 5/2 | | ___ | | ___ | | ___ | |x 3/2| | ___ | |x 3/2| | / / ___ ___\\ | | ___ \/ 2*x | |x 3/2| | ___ | | / _____\
| 2| \/ 2 *\/ x || | | \/ 2 *e | \ x x x / \ \/ x / \ \/ x / \ \/ x / \ x / \ \/ x / \ x / | | 2| \/ 2 *\/ x || / / 2 \ \ | | \/ 2 *e | \ x / \ \/ x / | / / ___ ___\\ | ___ \/ 2*x |
\1 + tan \x + e //*(2 + x)*|4*|2 + --------------| + ----------------------------------- - ----------------------------------------------------- + ----------------------------------------------------- + ------------------------------------------- - ------------------------------------------------------------------------|*tan(cos(x + log(2))) 3*\1 + tan \x + e //*\-tan(cos(x + log(2))) + \1 + tan (cos(x + log(2)))/*(2 + x)*sin(x + log(2))/*|2*|2 + --------------| + --------------------- - ----------------------------------------------------| | 2| \/ 2 *\/ x || / 2 \ | \/ 2 *e | / / 2 \\
| | ___ | / ___ ___\ / ___ ___\ / ___ ___\ / ___ ___\ / ___ ___\ | | | ___ | / ___ ___\ / ___ ___\ | 3*\1 + tan \x + e //*\1 + tan (cos(x + log(2)))/*|2 + --------------|*\-2*sin(x + log(2)) + (2 + x)*\-cos(x + log(2)) + 2*sin (x + log(2))*tan(cos(x + log(2)))//
/ 2 \ / 2 / 2 / 2 \ 2 2 \ \ | \ \/ x / 2| \/ 2 *\/ x | 2| \/ 2 *\/ x | 4| \/ 2 *\/ x | | \/ 2 *\/ x | 3| \/ 2 *\/ x | | | \ \/ x / | \/ 2 *\/ x | 2| \/ 2 *\/ x | | | ___ |
2*\1 + tan (cos(x + log(2)))/*\3*cos(x + log(2)) - 6*sin (x + log(2))*tan(cos(x + log(2))) + (2 + x)*\-1 - 6*cos(x + log(2))*tan(cos(x + log(2))) + 2*sin (x + log(2))*\1 + tan (cos(x + log(2)))/ + 4*sin (x + log(2))*tan (cos(x + log(2)))/*sin(x + log(2))/ \ tan \x + e / tan \x + e / tan \x + e / tan\x + e / tan \x + e / / \ tan\x + e / tan \x + e / / \ \/ x /
- --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ ___ ___\ 4 / ___ ___\ / ___ ___\
| \/ 2 *\/ x | | \/ 2 *\/ x | 2| \/ 2 *\/ x |
tan\x + e / 2*tan\x + e / tan \x + e /
$$- \frac{3 \left(2 + \frac{\sqrt{2} e^{\sqrt{2 x}}}{\sqrt{x}}\right) \left(\left(x + 2\right) \left(2 \sin^{2}{\left(x + \log{\left(2 \right)} \right)} \tan{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)} - \cos{\left(x + \log{\left(2 \right)} \right)}\right) - 2 \sin{\left(x + \log{\left(2 \right)} \right)}\right) \left(\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)} + 1\right) \left(\tan^{2}{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)} + 1\right)}{\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}} - \frac{\left(x + 2\right) \left(\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)} + 1\right) \left(\frac{6 \left(2 + \frac{\sqrt{2} e^{\sqrt{2 x}}}{\sqrt{x}}\right)^{3} \left(\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)} + 1\right)^{2}}{\tan^{4}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}} - \frac{10 \left(2 + \frac{\sqrt{2} e^{\sqrt{2 x}}}{\sqrt{x}}\right)^{3} \left(\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)} + 1\right)}{\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}} + 4 \left(2 + \frac{\sqrt{2} e^{\sqrt{2 x}}}{\sqrt{x}}\right)^{3} - \frac{6 \left(2 + \frac{\sqrt{2} e^{\sqrt{2 x}}}{\sqrt{x}}\right) \left(\frac{2}{x} - \frac{\sqrt{2}}{x^{\frac{3}{2}}}\right) \left(\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)} + 1\right) e^{\sqrt{2 x}}}{\tan^{3}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}} + \frac{6 \left(2 + \frac{\sqrt{2} e^{\sqrt{2 x}}}{\sqrt{x}}\right) \left(\frac{2}{x} - \frac{\sqrt{2}}{x^{\frac{3}{2}}}\right) e^{\sqrt{2 x}}}{\tan{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}} + \frac{\left(- \frac{6}{x^{2}} + \frac{2 \sqrt{2}}{x^{\frac{3}{2}}} + \frac{3 \sqrt{2}}{x^{\frac{5}{2}}}\right) e^{\sqrt{2 x}}}{\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}}\right) \tan{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)}}{4} + \frac{3 \left(\left(x + 2\right) \left(\tan^{2}{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)} + 1\right) \sin{\left(x + \log{\left(2 \right)} \right)} - \tan{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)}\right) \left(\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)} + 1\right) \left(- \frac{2 \left(2 + \frac{\sqrt{2} e^{\sqrt{2 x}}}{\sqrt{x}}\right)^{2} \left(\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)} + 1\right)}{\tan^{2}{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}} + 2 \left(2 + \frac{\sqrt{2} e^{\sqrt{2 x}}}{\sqrt{x}}\right)^{2} + \frac{\left(\frac{2}{x} - \frac{\sqrt{2}}{x^{\frac{3}{2}}}\right) e^{\sqrt{2 x}}}{\tan{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}}\right)}{2 \tan{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}} - \frac{2 \left(\tan^{2}{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)} + 1\right) \left(\left(x + 2\right) \left(2 \left(\tan^{2}{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)} + 1\right) \sin^{2}{\left(x + \log{\left(2 \right)} \right)} + 4 \sin^{2}{\left(x + \log{\left(2 \right)} \right)} \tan^{2}{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)} - 6 \cos{\left(x + \log{\left(2 \right)} \right)} \tan{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)} - 1\right) \sin{\left(x + \log{\left(2 \right)} \right)} - 6 \sin^{2}{\left(x + \log{\left(2 \right)} \right)} \tan{\left(\cos{\left(x + \log{\left(2 \right)} \right)} \right)} + 3 \cos{\left(x + \log{\left(2 \right)} \right)}\right)}{\tan{\left(x + e^{\sqrt{2} \sqrt{x}} \right)}}$$
Gráfico