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- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
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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 (3x+6)^2
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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
- (((x*tg(x)*(seis *x+ dos)^(uno / cinco))/((x^ tres - uno)^ nueve *lnx)))^ uno / cuatro
- (((x multiplicar por tg(x) multiplicar por (6 multiplicar por x más 2) en el grado (1 dividir por 5)) dividir por ((x al cubo menos 1) en el grado 9 multiplicar por lnx))) en el grado 1 dividir por 4
- (((x multiplicar por tg(x) multiplicar por (seis multiplicar por x más dos) en el grado (uno dividir por cinco)) dividir por ((x en el grado tres menos uno) en el grado nueve multiplicar por lnx))) en el grado uno dividir por cuatro
- (((x*tg(x)*(6*x+2)(1/5))/((x3-1)9*lnx)))1/4
- x*tgx*6*x+21/5/x3-19*lnx1/4
- (((x*tg(x)*(6*x+2)^(1/5))/((x³-1)⁹*lnx)))^1/4
- (((x*tg(x)*(6*x+2) en el grado (1/5))/((x en el grado 3-1) en el grado 9*lnx))) en el grado 1/4
- (((xtg(x)(6x+2)^(1/5))/((x^3-1)^9lnx)))^1/4
- (((xtg(x)(6x+2)(1/5))/((x3-1)9lnx)))1/4
- xtgx6x+21/5/x3-19lnx1/4
- xtgx6x+2^1/5/x^3-1^9lnx^1/4
- (((x*tg(x)*(6*x+2)^(1 dividir por 5)) dividir por ((x^3-1)^9*lnx)))^1 dividir por 4
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Expresiones semejantes
- (((x*tg(x)*(6*x+2)^(1/5))/((x^3+1)^9*lnx)))^1/4
- (((x*tg(x)*(6*x-2)^(1/5))/((x^3-1)^9*lnx)))^1/4
Derivada de (((x*tg(x)*(6*x+2)^(1/5))/((x^3-1)^9*lnx)))^1/4
Solución
Ha introducido
[src]
______________________
/ 5 _________
/ x*tan(x)*\/ 6*x + 2
/ --------------------
/ 9
4 / / 3 \
\/ \x - 1/ *log(x)
$$\sqrt[4]{\frac{x \tan{\left(x \right)} \sqrt[5]{6 x + 2}}{\left(x^{3} - 1\right)^{9} \log{\left(x \right)}}}$$
(((x*tan(x))*(6*x + 2)^(1/5))/(((x^3 - 1)^9*log(x))))^(1/4)
Primera derivada
[src]
/ 1 /5 _________ / / 2 \ \ 6*x*tan(x) \ / 9 \ \
|----------------*|\/ 6*x + 2 *\x*\1 + tan (x)/ + tan(x)/ + --------------| | / 3 \ 8 | |
| 9 | 4/5| 5 _________ | \x - 1/ 2 / 3 \ | |
_______________________________________ 9 |/ 3 \ \ 5*(6*x + 2) / x*\/ 6*x + 2 *|- --------- - 27*x *\x - 1/ *log(x)|*tan(x)|
/ 5 _________ 1 / 3 \ |\x - 1/ *log(x) \ x / |
/ x*\/ 6*x + 2 *----------------*tan(x) *\x - 1/ *|-------------------------------------------------------------------------- + -----------------------------------------------------------|*log(x)
/ 9 | 4 18 |
4 / / 3 \ | / 3 \ 2 |
\/ \x - 1/ *log(x) \ 4*\x - 1/ *log (x) /
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
5 _________
x*\/ 6*x + 2 *tan(x)
$$\frac{\sqrt[4]{x \frac{1}{\left(x^{3} - 1\right)^{9} \log{\left(x \right)}} \sqrt[5]{6 x + 2} \tan{\left(x \right)}} \left(x^{3} - 1\right)^{9} \left(\frac{x \sqrt[5]{6 x + 2} \left(- 27 x^{2} \left(x^{3} - 1\right)^{8} \log{\left(x \right)} - \frac{\left(x^{3} - 1\right)^{9}}{x}\right) \tan{\left(x \right)}}{4 \left(x^{3} - 1\right)^{18} \log{\left(x \right)}^{2}} + \frac{\frac{1}{\left(x^{3} - 1\right)^{9} \log{\left(x \right)}} \left(\frac{6 x \tan{\left(x \right)}}{5 \left(6 x + 2\right)^{\frac{4}{5}}} + \sqrt[5]{6 x + 2} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right)}{4}\right) \log{\left(x \right)}}{x \sqrt[5]{6 x + 2} \tan{\left(x \right)}}$$
Segunda derivada
[src]
/ / / 2 \ \ \
| | | / 3\ | | |
| | / 3 \ / 3 \ / 3 \ / 3 \ / 3 \ 5 _________ | \-1 + x / / 3\ 4 / 3\ | | |
| / / 3 \ \ | 5 _________ |-1 + x 2 | 5 _________ |-1 + x 2 | 3 5 _________ |-1 + x 2 | |-1 + x 2 | 5 _________ / 2 \ |-1 + x 2 | 25*x*\/ 1 + 3*x *|- ---------- + 54*x*\-1 + x / + 648*x *log(x) + 54*x*\-1 + x /*log(x)|*tan(x)| / / 3 \ \ / / 3 \ \ / / 3 \ \ / / 3 \ \ / / 3 \ \ |
| | 5 _________ |-1 + x 2 | | | / / 2 \ \ / 2 \ / 2 \ 50*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x) 25*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x) 1350*x *\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x) 15*x*|------- + 27*x *log(x)|*tan(x) 25*x*\/ 1 + 3*x *\1 + tan (x)/*|------- + 27*x *log(x)| | 2 | | | 5 _________ |-1 + x 2 | | | 5 _________ |-1 + x 2 | | | 5 _________ |-1 + x 2 | | | 5 _________ |-1 + x 2 | | | 5 _________ |-1 + x 2 | | |
| | 5*x*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)| | 5 _________ / 2 / 2 \ \ 15*\x*\1 + tan (x)/ + tan(x)/ 15*tan(x) | 1 27*x | / 5 _________ / / 2 \ \ 3*x*tan(x) \ 15*x*\1 + tan (x)/ 36*x*tan(x) \ x / \ x / \ x / \ x / \ x / \ x / | | 5*x*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)| | 5*x*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)| | 5*x*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)| | 5*x*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)| | 5*x*\/ 1 + 3*x *|------- + 27*x *log(x)|*tan(x)| / / 2 \ \|
| | 5 _________ / / 2 \ \ 3*x*tan(x) \ x / | 4*|- 50*\/ 1 + 3*x *\1 + tan (x) + x*\1 + tan (x)/*tan(x)/ - ----------------------------- - ------------ + 5*|-------- + -------|*|5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ + ------------| - ------------------ + ------------ - ---------------------------------------------- + ---------------------------------------------- - --------------------------------------------------- + ------------------------------------ + ------------------------------------------------------- + -----------------------------------------------------------------------------------------------| | 5 _________ / / 2 \ \ 3*x*tan(x) \ x / | | 5 _________ / / 2 \ \ 3*x*tan(x) \ x / | | 5 _________ / / 2 \ \ 3*x*tan(x) \ x / | / 2 \ | 5 _________ / / 2 \ \ 3*x*tan(x) \ x / | | 5 _________ / / 2 \ \ 3*x*tan(x) \ x / | | 5 _________ 3*x*tan(x) 5 _________ / 2 \ 5 _________ | 1 27*x | ||
______________________ |4*|- 5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ - ------------ + -----------------------------------------------| | 4/5 4/5 |x*log(x) 3| | 4/5| 4/5 9/5 / 3\ 2 / 3\ 2 4/5 / 3\ / 3\ 2 | 108*x*|- 5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ - ------------ + -----------------------------------------------| 4*|- 5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ - ------------ + -----------------------------------------------| 12*|- 5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ - ------------ + -----------------------------------------------| 4*\1 + tan (x)/*|- 5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ - ------------ + -----------------------------------------------| |- 5*\/ 1 + 3*x *\x*\1 + tan (x)/ + tan(x)/ - ------------ + -----------------------------------------------|*|5*\/ 1 + 3*x *tan(x) + ------------ + 5*x*\/ 1 + 3*x *\1 + tan (x)/ - 5*x*\/ 1 + 3*x *|-------- + -------|*tan(x)||
/ 5 _________ | | 4/5 / 3\ | | (1 + 3*x) (1 + 3*x) \ -1 + x / \ (1 + 3*x) / (1 + 3*x) (1 + 3*x) \-1 + x /*log (x) \-1 + x /*log(x) / 3\ (1 + 3*x) *\-1 + x /*log(x) \-1 + x /*log(x) / 3\ | | 4/5 / 3\ | | 4/5 / 3\ | | 4/5 / 3\ | | 4/5 / 3\ | | 4/5 / 3\ | | 4/5 |x*log(x) 3| ||
20___ / x*\/ 1 + 3*x *tan(x) | \ (1 + 3*x) \-1 + x /*log(x) / \ \-1 + x / *log(x) \-1 + x / *log(x) / \ (1 + 3*x) \-1 + x /*log(x) / \ (1 + 3*x) \-1 + x /*log(x) / \ (1 + 3*x) \-1 + x /*log(x) / \ (1 + 3*x) \-1 + x /*log(x) / \ (1 + 3*x) \-1 + x /*log(x) / \ (1 + 3*x) \ -1 + x / /|
\/ 2 * / -------------------- *|--------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
/ 9 | 2 5*x 3 2 5*x*(1 + 3*x) x*tan(x) 2 5 _________ |
4 / / 3\ \ x -1 + x x *log(x) 5*x *\/ 1 + 3*x *tan(x) /
\/ \-1 + x / *log(x)
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
5 _________
80*\/ 1 + 3*x *tan(x)
$$\frac{\sqrt[20]{2} \sqrt[4]{\frac{x \sqrt[5]{3 x + 1} \tan{\left(x \right)}}{\left(x^{3} - 1\right)^{9} \log{\left(x \right)}}} \left(- \frac{108 x \left(\frac{5 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} - 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right)}{x^{3} - 1} + \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right) \left(\frac{5 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} - 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right)}{x \tan{\left(x \right)}} - \frac{4 \left(- \frac{1350 x^{3} \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right)^{2} \log{\left(x \right)}} + \frac{25 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\left(x^{3} - 1\right) \log{\left(x \right)}} + \frac{25 x \sqrt[5]{3 x + 1} \left(648 x^{4} \log{\left(x \right)} + 54 x \left(x^{3} - 1\right) \log{\left(x \right)} + 54 x \left(x^{3} - 1\right) - \frac{\left(x^{3} - 1\right)^{2}}{x^{2}}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right)^{2} \log{\left(x \right)}} - \frac{15 x \left(\tan^{2}{\left(x \right)} + 1\right)}{\left(3 x + 1\right)^{\frac{4}{5}}} + \frac{15 x \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}} \left(x^{3} - 1\right) \log{\left(x \right)}} + \frac{36 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{9}{5}}} - 50 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right) + \frac{25 \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{50 \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}^{2}} + 5 \left(\frac{27 x^{2}}{x^{3} - 1} + \frac{1}{x \log{\left(x \right)}}\right) \left(\frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} + 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right) - \frac{15 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)}{\left(3 x + 1\right)^{\frac{4}{5}}} - \frac{15 \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}}\right)}{5 x} + \frac{12 \left(\frac{5 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} - 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right)}{5 x \left(3 x + 1\right)} + \frac{4 \left(\frac{5 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} - 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right)}{x^{2}} - \frac{4 \left(\frac{5 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} - 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right)}{x^{2} \log{\left(x \right)}} - \frac{\left(\frac{5 x \sqrt[5]{3 x + 1} \left(27 x^{2} \log{\left(x \right)} + \frac{x^{3} - 1}{x}\right) \tan{\left(x \right)}}{\left(x^{3} - 1\right) \log{\left(x \right)}} - \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} - 5 \sqrt[5]{3 x + 1} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)\right) \left(- 5 x \sqrt[5]{3 x + 1} \left(\frac{27 x^{2}}{x^{3} - 1} + \frac{1}{x \log{\left(x \right)}}\right) \tan{\left(x \right)} + 5 x \sqrt[5]{3 x + 1} \left(\tan^{2}{\left(x \right)} + 1\right) + \frac{3 x \tan{\left(x \right)}}{\left(3 x + 1\right)^{\frac{4}{5}}} + 5 \sqrt[5]{3 x + 1} \tan{\left(x \right)}\right)}{5 x^{2} \sqrt[5]{3 x + 1} \tan{\left(x \right)}}\right)}{80 \sqrt[5]{3 x + 1} \tan{\left(x \right)}}$$
Gráfico