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:
-
Derivada de (3x^4-x)^7
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Derivada de (3x+6)^2
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Derivada de (1+cos(x))/(1-cos(x))
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Derivada de (2*x-9)/(x-5)
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Expresiones idénticas
- y=ln(tgx/sqrtx)
- y es igual a ln(tgx dividir por raíz cuadrada de x)
- y=ln(tgx/√x)
- y=lntgx/sqrtx
- y=ln(tgx dividir por sqrtx)
Derivada de y=ln(tgx/sqrtx)
Solución
Ha introducido
[src]
/tan(x)\ log|------| | ___ | \\/ x /
$$\log{\left(\frac{\tan{\left(x \right)}}{\sqrt{x}} \right)}$$
log(tan(x)/sqrt(x))
Primera derivada
[src]
/ 2 \
___ |1 + tan (x) tan(x)|
\/ x *|----------- - ------|
| ___ 3/2|
\ \/ x 2*x /
----------------------------
tan(x)
$$\frac{\sqrt{x} \left(\frac{\tan^{2}{\left(x \right)} + 1}{\sqrt{x}} - \frac{\tan{\left(x \right)}}{2 x^{\frac{3}{2}}}\right)}{\tan{\left(x \right)}}$$
Segunda derivada
[src]
2 tan(x) / 2 \ / 2 tan(x)\
2 2 + 2*tan (x) - ------ \1 + tan (x)/*|2 + 2*tan (x) - ------|
1 + tan (x) / 2 \ x 3*tan(x) \ x /
- ----------- + 2*\1 + tan (x)/*tan(x) + ---------------------- + -------- - --------------------------------------
x 4*x 2 2*tan(x)
4*x
-------------------------------------------------------------------------------------------------------------------
tan(x)
$$\frac{- \frac{\left(\tan^{2}{\left(x \right)} + 1\right) \left(2 \tan^{2}{\left(x \right)} + 2 - \frac{\tan{\left(x \right)}}{x}\right)}{2 \tan{\left(x \right)}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{\tan^{2}{\left(x \right)} + 1}{x} + \frac{2 \tan^{2}{\left(x \right)} + 2 - \frac{\tan{\left(x \right)}}{x}}{4 x} + \frac{3 \tan{\left(x \right)}}{4 x^{2}}}{\tan{\left(x \right)}}$$
Tercera derivada
[src]
/ 2 \ / / 2 \ \
4*\1 + tan (x)/ 3*tan(x) / 2 \ 2 / 2 \ | 4*\1 + tan (x)/ 3*tan(x) / 2 \ |
2 tan(x) - --------------- + -------- + 8*\1 + tan (x)/*tan(x) / 2 \ / 2 tan(x)\ \1 + tan (x)/*|- --------------- + -------- + 8*\1 + tan (x)/*tan(x)| / 2 \ / 2 tan(x)\
2 2 + 2*tan (x) - ------ x 2 / 2 \ \1 + tan (x)/ *|2 + 2*tan (x) - ------| / 2 \ | x 2 | \1 + tan (x)/*|2 + 2*tan (x) - ------|
/ 2 \ / 2 \ / 2 tan(x)\ 2 / 2 \ 15*tan(x) x x 9*\1 + tan (x)/ \ x / 3*\1 + tan (x)/*tan(x) \ x / \ x /
2*\1 + tan (x)/ - \1 + tan (x)/*|2 + 2*tan (x) - ------| + 4*tan (x)*\1 + tan (x)/ - --------- - ---------------------- + ----------------------------------------------------- + --------------- + --------------------------------------- - ---------------------- - --------------------------------------------------------------------- - --------------------------------------
\ x / 3 2 4*x 2 2 x 2*tan(x) 2*x*tan(x)
8*x 8*x 4*x tan (x)
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
tan(x)
$$\frac{\frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2} \left(2 \tan^{2}{\left(x \right)} + 2 - \frac{\tan{\left(x \right)}}{x}\right)}{\tan^{2}{\left(x \right)}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} - \frac{\left(\tan^{2}{\left(x \right)} + 1\right) \left(8 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} + \frac{3 \tan{\left(x \right)}}{x^{2}}\right)}{2 \tan{\left(x \right)}} - \left(\tan^{2}{\left(x \right)} + 1\right) \left(2 \tan^{2}{\left(x \right)} + 2 - \frac{\tan{\left(x \right)}}{x}\right) + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} - \frac{\left(\tan^{2}{\left(x \right)} + 1\right) \left(2 \tan^{2}{\left(x \right)} + 2 - \frac{\tan{\left(x \right)}}{x}\right)}{2 x \tan{\left(x \right)}} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} + \frac{8 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} + \frac{3 \tan{\left(x \right)}}{x^{2}}}{4 x} + \frac{9 \left(\tan^{2}{\left(x \right)} + 1\right)}{4 x^{2}} - \frac{2 \tan^{2}{\left(x \right)} + 2 - \frac{\tan{\left(x \right)}}{x}}{8 x^{2}} - \frac{15 \tan{\left(x \right)}}{8 x^{3}}}{\tan{\left(x \right)}}$$
Gráfico