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 2*cos(3*x)
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Derivada de x^(7/6)
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Derivada de x^(2/5)
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Derivada de 1/ln(x)
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Expresiones idénticas
- сos(tres x- dos)lnx+(4ctg(x^3))/(arcsinx)
- сos(3x menos 2)lnx más (4ctg(x al cubo )) dividir por (arc seno de x)
- сos(tres x menos dos)lnx más (4ctg(x al cubo )) dividir por (arc seno de x)
- сos(3x-2)lnx+(4ctg(x3))/(arcsinx)
- сos3x-2lnx+4ctgx3/arcsinx
- сos(3x-2)lnx+(4ctg(x³))/(arcsinx)
- сos(3x-2)lnx+(4ctg(x en el grado 3))/(arcsinx)
- сos3x-2lnx+4ctgx^3/arcsinx
- сos(3x-2)lnx+(4ctg(x^3)) dividir por (arcsinx)
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Expresiones semejantes
- сos(3x+2)lnx+(4ctg(x^3))/(arcsinx)
- сos(3x-2)lnx-(4ctg(x^3))/(arcsinx)
Derivada de сos(3x-2)lnx+(4ctg(x^3))/(arcsinx)
Solución
Ha introducido
[src]
/ 3\
4*cot\x /
cos(3*x - 2)*log(x) + ---------
asin(x)
$$\log{\left(x \right)} \cos{\left(3 x - 2 \right)} + \frac{4 \cot{\left(x^{3} \right)}}{\operatorname{asin}{\left(x \right)}}$$
cos(3*x - 2)*log(x) + (4*cot(x^3))/asin(x)
Primera derivada
[src]
/ 3\ 2 / 2/ 3\\
cos(3*x - 2) 4*cot\x / 12*x *\-1 - cot \x //
------------ - 3*log(x)*sin(3*x - 2) - -------------------- + ---------------------
x ________ asin(x)
/ 2 2
\/ 1 - x *asin (x)
$$\frac{12 x^{2} \left(- \cot^{2}{\left(x^{3} \right)} - 1\right)}{\operatorname{asin}{\left(x \right)}} - 3 \log{\left(x \right)} \sin{\left(3 x - 2 \right)} - \frac{4 \cot{\left(x^{3} \right)}}{\sqrt{1 - x^{2}} \operatorname{asin}^{2}{\left(x \right)}} + \frac{\cos{\left(3 x - 2 \right)}}{x}$$
Segunda derivada
[src]
/ 2/ 3\\ / 3\ / 3\ 2 / 2/ 3\\ 4 / 2/ 3\\ / 3\
cos(-2 + 3*x) 6*sin(-2 + 3*x) 24*x*\1 + cot \x // 8*cot\x / 4*x*cot\x / 24*x *\1 + cot \x // 72*x *\1 + cot \x //*cot\x /
- ------------- - 9*cos(-2 + 3*x)*log(x) - --------------- - ------------------- - ------------------ - -------------------- + -------------------- + ----------------------------
2 x asin(x) / 2\ 3 3/2 ________ asin(x)
x \-1 + x /*asin (x) / 2\ 2 / 2 2
\1 - x / *asin (x) \/ 1 - x *asin (x)
$$\frac{72 x^{4} \left(\cot^{2}{\left(x^{3} \right)} + 1\right) \cot{\left(x^{3} \right)}}{\operatorname{asin}{\left(x \right)}} + \frac{24 x^{2} \left(\cot^{2}{\left(x^{3} \right)} + 1\right)}{\sqrt{1 - x^{2}} \operatorname{asin}^{2}{\left(x \right)}} - \frac{24 x \left(\cot^{2}{\left(x^{3} \right)} + 1\right)}{\operatorname{asin}{\left(x \right)}} - \frac{4 x \cot{\left(x^{3} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(x \right)}} - 9 \log{\left(x \right)} \cos{\left(3 x - 2 \right)} - \frac{8 \cot{\left(x^{3} \right)}}{\left(x^{2} - 1\right) \operatorname{asin}^{3}{\left(x \right)}} - \frac{6 \sin{\left(3 x - 2 \right)}}{x} - \frac{\cos{\left(3 x - 2 \right)}}{x^{2}}$$
Tercera derivada
[src]
2
/ 2/ 3\\ 6 / 2/ 3\\ / 3\ / 3\ 6 2/ 3\ / 2/ 3\\ 2 / 3\ / 3\ 3 / 2/ 3\\ / 2/ 3\\ 2 / 2/ 3\\ 3 / 2/ 3\\ / 3\ 4 / 2/ 3\\ / 3\
27*cos(-2 + 3*x) 24*\1 + cot \x // 2*cos(-2 + 3*x) 9*sin(-2 + 3*x) 216*x *\1 + cot \x // 24*cot\x / 4*cot\x / 432*x *cot \x /*\1 + cot \x // 12*x *cot\x / 24*x*cot\x / 36*x *\1 + cot \x // 72*x*\1 + cot \x // 72*x *\1 + cot \x // 432*x *\1 + cot \x //*cot\x / 216*x *\1 + cot \x //*cot\x /
- ---------------- - ----------------- + --------------- + --------------- + 27*log(x)*sin(-2 + 3*x) - ---------------------- - -------------------- - -------------------- - ------------------------------ - -------------------- + ------------------- + -------------------- + -------------------- + -------------------- + ----------------------------- - -----------------------------
x asin(x) 3 2 asin(x) 3/2 3/2 asin(x) 5/2 2 3/2 ________ / 2\ 3 asin(x) ________
x x / 2\ 4 / 2\ 2 / 2\ 2 / 2\ 3 / 2\ 2 / 2 2 \-1 + x /*asin (x) / 2 2
\1 - x / *asin (x) \1 - x / *asin (x) \1 - x / *asin (x) \-1 + x / *asin (x) \1 - x / *asin (x) \/ 1 - x *asin (x) \/ 1 - x *asin (x)
$$- \frac{216 x^{6} \left(\cot^{2}{\left(x^{3} \right)} + 1\right)^{2}}{\operatorname{asin}{\left(x \right)}} - \frac{432 x^{6} \left(\cot^{2}{\left(x^{3} \right)} + 1\right) \cot^{2}{\left(x^{3} \right)}}{\operatorname{asin}{\left(x \right)}} - \frac{216 x^{4} \left(\cot^{2}{\left(x^{3} \right)} + 1\right) \cot{\left(x^{3} \right)}}{\sqrt{1 - x^{2}} \operatorname{asin}^{2}{\left(x \right)}} + \frac{432 x^{3} \left(\cot^{2}{\left(x^{3} \right)} + 1\right) \cot{\left(x^{3} \right)}}{\operatorname{asin}{\left(x \right)}} + \frac{36 x^{3} \left(\cot^{2}{\left(x^{3} \right)} + 1\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(x \right)}} + \frac{72 x^{2} \left(\cot^{2}{\left(x^{3} \right)} + 1\right)}{\left(x^{2} - 1\right) \operatorname{asin}^{3}{\left(x \right)}} - \frac{12 x^{2} \cot{\left(x^{3} \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}} \operatorname{asin}^{2}{\left(x \right)}} + \frac{24 x \cot{\left(x^{3} \right)}}{\left(x^{2} - 1\right)^{2} \operatorname{asin}^{3}{\left(x \right)}} + \frac{72 x \left(\cot^{2}{\left(x^{3} \right)} + 1\right)}{\sqrt{1 - x^{2}} \operatorname{asin}^{2}{\left(x \right)}} - \frac{24 \left(\cot^{2}{\left(x^{3} \right)} + 1\right)}{\operatorname{asin}{\left(x \right)}} + 27 \log{\left(x \right)} \sin{\left(3 x - 2 \right)} - \frac{4 \cot{\left(x^{3} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(x \right)}} - \frac{24 \cot{\left(x^{3} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{4}{\left(x \right)}} - \frac{27 \cos{\left(3 x - 2 \right)}}{x} + \frac{9 \sin{\left(3 x - 2 \right)}}{x^{2}} + \frac{2 \cos{\left(3 x - 2 \right)}}{x^{3}}$$
Gráfico