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^4/3-x
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Derivada de x^-4/5
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Derivada de x=1
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Derivada de x^2*2^x
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Expresiones idénticas
- y= cinco *((x^ dos)+(x)^(uno / dos)+ uno /x)^(uno / dos)-e^(cos(tres x))*ctg(8x)^3
- y es igual a 5 multiplicar por ((x al cuadrado ) más (x) en el grado (1 dividir por 2) más 1 dividir por x) en el grado (1 dividir por 2) menos e en el grado ( coseno de (3x)) multiplicar por ctg(8x) al cubo
- y es igual a cinco multiplicar por ((x en el grado dos) más (x) en el grado (uno dividir por dos) más uno dividir por x) en el grado (uno dividir por dos) menos e en el grado ( coseno de (tres x)) multiplicar por ctg(8x) al cubo
- y=5*((x2)+(x)(1/2)+1/x)(1/2)-e(cos(3x))*ctg(8x)3
- y=5*x2+x1/2+1/x1/2-ecos3x*ctg8x3
- y=5*((x²)+(x)^(1/2)+1/x)^(1/2)-e^(cos(3x))*ctg(8x)³
- y=5*((x en el grado 2)+(x) en el grado (1/2)+1/x) en el grado (1/2)-e en el grado (cos(3x))*ctg(8x) en el grado 3
- y=5((x^2)+(x)^(1/2)+1/x)^(1/2)-e^(cos(3x))ctg(8x)^3
- y=5((x2)+(x)(1/2)+1/x)(1/2)-e(cos(3x))ctg(8x)3
- y=5x2+x1/2+1/x1/2-ecos3xctg8x3
- y=5x^2+x^1/2+1/x^1/2-e^cos3xctg8x^3
- y=5*((x^2)+(x)^(1 dividir por 2)+1 dividir por x)^(1 dividir por 2)-e^(cos(3x))*ctg(8x)^3
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Expresiones semejantes
- y=5*((x^2)-(x)^(1/2)+1/x)^(1/2)-e^(cos(3x))*ctg(8x)^3
- y=5*((x^2)+(x)^(1/2)-1/x)^(1/2)-e^(cos(3x))*ctg(8x)^3
- y=5*((x^2)+(x)^(1/2)+1/x)^(1/2)+e^(cos(3x))*ctg(8x)^3
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Expresiones con funciones
- Coseno cos
- cos(3x^2+2)
Derivada de y=5*((x^2)+(x)^(1/2)+1/x)^(1/2)-e^(cos(3x))*ctg(8x)^3
Solución
Ha introducido
[src]
________________
/ 2 ___ 1 cos(3*x) 3
5* / x + \/ x + - - E *cot (8*x)
\/ x
$$- e^{\cos{\left(3 x \right)}} \cot^{3}{\left(8 x \right)} + 5 \sqrt{\left(\sqrt{x} + x^{2}\right) + \frac{1}{x}}$$
5*sqrt(x^2 + sqrt(x) + 1/x) - E^cos(3*x)*cot(8*x)^3
Primera derivada
[src]
/ 1 1 \
5*|x - ---- + -------|
| 2 ___|
\ 2*x 4*\/ x / 2 / 2 \ cos(3*x) 3 cos(3*x)
---------------------- - cot (8*x)*\-24 - 24*cot (8*x)/*e + 3*cot (8*x)*e *sin(3*x)
________________
/ 2 ___ 1
/ x + \/ x + -
\/ x
$$- \left(- 24 \cot^{2}{\left(8 x \right)} - 24\right) e^{\cos{\left(3 x \right)}} \cot^{2}{\left(8 x \right)} + 3 e^{\cos{\left(3 x \right)}} \sin{\left(3 x \right)} \cot^{3}{\left(8 x \right)} + \frac{5 \left(x - \frac{1}{2 x^{2}} + \frac{1}{4 \sqrt{x}}\right)}{\sqrt{\left(\sqrt{x} + x^{2}\right) + \frac{1}{x}}}$$
Segunda derivada
[src]
2
/ 1 2 \ / 1 8 \
5*|----- - -- + 4*x| 5*|8 - ---- + --|
| ___ 2 | | 3/2 3| 2
\\/ x x / \ x x / / 2 \ cos(3*x) 3 / 2 \ cos(3*x) 3 2 cos(3*x) 3 cos(3*x) 2 / 2 \ cos(3*x)
- ---------------------- + ---------------------- - 384*\1 + cot (8*x)/ *cot(8*x)*e - 384*cot (8*x)*\1 + cot (8*x)/*e - 9*cot (8*x)*sin (3*x)*e + 9*cot (8*x)*cos(3*x)*e - 144*cot (8*x)*\1 + cot (8*x)/*e *sin(3*x)
3/2 ________________
/ ___ 1 2\ / ___ 1 2
16*|\/ x + - + x | 8* / \/ x + - + x
\ x / \/ x
$$- 384 \left(\cot^{2}{\left(8 x \right)} + 1\right)^{2} e^{\cos{\left(3 x \right)}} \cot{\left(8 x \right)} - 144 \left(\cot^{2}{\left(8 x \right)} + 1\right) e^{\cos{\left(3 x \right)}} \sin{\left(3 x \right)} \cot^{2}{\left(8 x \right)} - 384 \left(\cot^{2}{\left(8 x \right)} + 1\right) e^{\cos{\left(3 x \right)}} \cot^{3}{\left(8 x \right)} + \frac{5 \left(8 + \frac{8}{x^{3}} - \frac{1}{x^{\frac{3}{2}}}\right)}{8 \sqrt{\sqrt{x} + x^{2} + \frac{1}{x}}} - 9 e^{\cos{\left(3 x \right)}} \sin^{2}{\left(3 x \right)} \cot^{3}{\left(8 x \right)} + 9 e^{\cos{\left(3 x \right)}} \cos{\left(3 x \right)} \cot^{3}{\left(8 x \right)} - \frac{5 \left(4 x - \frac{2}{x^{2}} + \frac{1}{\sqrt{x}}\right)^{2}}{16 \left(\sqrt{x} + x^{2} + \frac{1}{x}\right)^{\frac{3}{2}}}$$
Tercera derivada
[src]
/ 3 \ | / 1 16\ / 1 2 \ / 1 8 \ / 1 2 \ | | 5*|- ---- + --| 5*|----- - -- + 4*x| 5*|8 - ---- + --|*|----- - -- + 4*x| | | 3 | 5/2 4| | ___ 2 | 2 | 3/2 3| | ___ 2 | 2 | | / 2 \ cos(3*x) \ x x / \\/ x x / 3 cos(3*x) 3 3 cos(3*x) 4 / 2 \ cos(3*x) / 2 \ 2 cos(3*x) \ x x / \\/ x x / 2 / 2 \ cos(3*x) 3 cos(3*x) 2 2 / 2 \ cos(3*x) / 2 \ cos(3*x) 3 / 2 \ cos(3*x) | 3*|1024*\1 + cot (8*x)/ *e - ----------------------- + ---------------------- - 9*cot (8*x)*e *sin(3*x) + 9*cot (8*x)*sin (3*x)*e + 2048*cot (8*x)*\1 + cot (8*x)/*e + 7168*\1 + cot (8*x)/ *cot (8*x)*e - ------------------------------------ - 216*cot (8*x)*\1 + cot (8*x)/*cos(3*x)*e - 27*cot (8*x)*cos(3*x)*e *sin(3*x) + 216*cot (8*x)*sin (3*x)*\1 + cot (8*x)/*e + 1152*\1 + cot (8*x)/ *cot(8*x)*e *sin(3*x) + 1152*cot (8*x)*\1 + cot (8*x)/*e *sin(3*x)| | ________________ 5/2 3/2 | | / ___ 1 2 / ___ 1 2\ / ___ 1 2\ | | 16* / \/ x + - + x 64*|\/ x + - + x | 32*|\/ x + - + x | | \ \/ x \ x / \ x / /
$$3 \left(- \frac{5 \left(\frac{16}{x^{4}} - \frac{1}{x^{\frac{5}{2}}}\right)}{16 \sqrt{\sqrt{x} + x^{2} + \frac{1}{x}}} + 1024 \left(\cot^{2}{\left(8 x \right)} + 1\right)^{3} e^{\cos{\left(3 x \right)}} + 1152 \left(\cot^{2}{\left(8 x \right)} + 1\right)^{2} e^{\cos{\left(3 x \right)}} \sin{\left(3 x \right)} \cot{\left(8 x \right)} + 7168 \left(\cot^{2}{\left(8 x \right)} + 1\right)^{2} e^{\cos{\left(3 x \right)}} \cot^{2}{\left(8 x \right)} + 216 \left(\cot^{2}{\left(8 x \right)} + 1\right) e^{\cos{\left(3 x \right)}} \sin^{2}{\left(3 x \right)} \cot^{2}{\left(8 x \right)} + 1152 \left(\cot^{2}{\left(8 x \right)} + 1\right) e^{\cos{\left(3 x \right)}} \sin{\left(3 x \right)} \cot^{3}{\left(8 x \right)} - 216 \left(\cot^{2}{\left(8 x \right)} + 1\right) e^{\cos{\left(3 x \right)}} \cos{\left(3 x \right)} \cot^{2}{\left(8 x \right)} + 2048 \left(\cot^{2}{\left(8 x \right)} + 1\right) e^{\cos{\left(3 x \right)}} \cot^{4}{\left(8 x \right)} - \frac{5 \left(8 + \frac{8}{x^{3}} - \frac{1}{x^{\frac{3}{2}}}\right) \left(4 x - \frac{2}{x^{2}} + \frac{1}{\sqrt{x}}\right)}{32 \left(\sqrt{x} + x^{2} + \frac{1}{x}\right)^{\frac{3}{2}}} + 9 e^{\cos{\left(3 x \right)}} \sin^{3}{\left(3 x \right)} \cot^{3}{\left(8 x \right)} - 27 e^{\cos{\left(3 x \right)}} \sin{\left(3 x \right)} \cos{\left(3 x \right)} \cot^{3}{\left(8 x \right)} - 9 e^{\cos{\left(3 x \right)}} \sin{\left(3 x \right)} \cot^{3}{\left(8 x \right)} + \frac{5 \left(4 x - \frac{2}{x^{2}} + \frac{1}{\sqrt{x}}\right)^{3}}{64 \left(\sqrt{x} + x^{2} + \frac{1}{x}\right)^{\frac{5}{2}}}\right)$$
Gráfico