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 v
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Derivada de (x+12)e^(12-x)
- Derivada de u/v
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Derivada de x^(1/10)
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Expresiones idénticas
- y=ln(x)*sin(sqrt(x))-ctg(x)/(cos(x)- uno)+(arccos(x))^ tres -e^ dos
- y es igual a ln(x) multiplicar por seno de ( raíz cuadrada de (x)) menos ctg(x) dividir por ( coseno de (x) menos 1) más (arc coseno de (x)) al cubo menos e al cuadrado
- y es igual a ln(x) multiplicar por seno de ( raíz cuadrada de (x)) menos ctg(x) dividir por ( coseno de (x) menos uno) más (arc coseno de (x)) en el grado tres menos e en el grado dos
- y=ln(x)*sin(√(x))-ctg(x)/(cos(x)-1)+(arccos(x))^3-e^2
- y=ln(x)*sin(sqrt(x))-ctg(x)/(cos(x)-1)+(arccos(x))3-e2
- y=lnx*sinsqrtx-ctgx/cosx-1+arccosx3-e2
- y=ln(x)*sin(sqrt(x))-ctg(x)/(cos(x)-1)+(arccos(x))³-e²
- y=ln(x)*sin(sqrt(x))-ctg(x)/(cos(x)-1)+(arccos(x)) en el grado 3-e en el grado 2
- y=ln(x)sin(sqrt(x))-ctg(x)/(cos(x)-1)+(arccos(x))^3-e^2
- y=ln(x)sin(sqrt(x))-ctg(x)/(cos(x)-1)+(arccos(x))3-e2
- y=lnxsinsqrtx-ctgx/cosx-1+arccosx3-e2
- y=lnxsinsqrtx-ctgx/cosx-1+arccosx^3-e^2
- y=ln(x)*sin(sqrt(x))-ctg(x) dividir por (cos(x)-1)+(arccos(x))^3-e^2
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Expresiones semejantes
- y=ln(x)*sin(sqrt(x))-ctg(x)/(cos(x)-1)-(arccos(x))^3-e^2
- y=ln(x)*sin(sqrt(x))-ctg(x)/(cos(x)+1)+(arccos(x))^3-e^2
- y=ln(x)*sin(sqrt(x))+ctg(x)/(cos(x)-1)+(arccos(x))^3-e^2
- y=ln(x)*sin(sqrt(x))-ctg(x)/(cos(x)-1)+(arccos(x))^3+e^2
- y=ln(x)*sin(sqrt(x))-ctg(x)/(cosx-1)+(arccosx)^3-e^2
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Expresiones con funciones
- ln
- ln(1+e^-x)
- ln2*((((1+cos(2*x))^3)^(1/2)))
- ln((x+a)^0.5)
- Seno sin
- sin(x^2+2x)
- sin4/x
- sin^(-1)x
- sin(3*y)
- sin(12*x)
Derivada de y=ln(x)*sin(sqrt(x))-ctg(x)/(cos(x)-1)+(arccos(x))^3-e^2
Solución
Ha introducido
[src]
/ ___\ cot(x) 3 2
log(x)*sin\\/ x / - ---------- + acos (x) - E
cos(x) - 1
$$\left(\left(\log{\left(x \right)} \sin{\left(\sqrt{x} \right)} - \frac{\cot{\left(x \right)}}{\cos{\left(x \right)} - 1}\right) + \operatorname{acos}^{3}{\left(x \right)}\right) - e^{2}$$
log(x)*sin(sqrt(x)) - cot(x)/(cos(x) - 1) + acos(x)^3 - E^2
Primera derivada
[src]
/ ___\ 2 2 / ___\
sin\\/ x / 1 + cot (x) 3*acos (x) cos\\/ x /*log(x) cot(x)*sin(x)
---------- + ----------- - ----------- + ----------------- - -------------
x cos(x) - 1 ________ ___ 2
/ 2 2*\/ x (cos(x) - 1)
\/ 1 - x
$$\frac{\cot^{2}{\left(x \right)} + 1}{\cos{\left(x \right)} - 1} - \frac{\sin{\left(x \right)} \cot{\left(x \right)}}{\left(\cos{\left(x \right)} - 1\right)^{2}} - \frac{3 \operatorname{acos}^{2}{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{\sin{\left(\sqrt{x} \right)}}{x} + \frac{\log{\left(x \right)} \cos{\left(\sqrt{x} \right)}}{2 \sqrt{x}}$$
Segunda derivada
[src]
/ ___\ / ___\ 2 / 2 \ 2 / 2 \ / ___\ / ___\
cos\\/ x / sin\\/ x / 6*acos(x) cos(x)*cot(x) 3*x*acos (x) 2*\1 + cot (x)/*cot(x) 2*sin (x)*cot(x) 2*\1 + cot (x)/*sin(x) log(x)*sin\\/ x / cos\\/ x /*log(x)
---------- - ---------- - --------- - -------------- - ------------ - ---------------------- - ---------------- + ---------------------- - ----------------- - -----------------
3/2 2 2 2 3/2 -1 + cos(x) 3 2 4*x 3/2
x x -1 + x (-1 + cos(x)) / 2\ (-1 + cos(x)) (-1 + cos(x)) 4*x
\1 - x /
$$- \frac{3 x \operatorname{acos}^{2}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}}{\cos{\left(x \right)} - 1} + \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(x \right)}}{\left(\cos{\left(x \right)} - 1\right)^{2}} - \frac{\cos{\left(x \right)} \cot{\left(x \right)}}{\left(\cos{\left(x \right)} - 1\right)^{2}} - \frac{2 \sin^{2}{\left(x \right)} \cot{\left(x \right)}}{\left(\cos{\left(x \right)} - 1\right)^{3}} - \frac{6 \operatorname{acos}{\left(x \right)}}{x^{2} - 1} - \frac{\log{\left(x \right)} \sin{\left(\sqrt{x} \right)}}{4 x} - \frac{\sin{\left(\sqrt{x} \right)}}{x^{2}} - \frac{\log{\left(x \right)} \cos{\left(\sqrt{x} \right)}}{4 x^{\frac{3}{2}}} + \frac{\cos{\left(\sqrt{x} \right)}}{x^{\frac{3}{2}}}$$
Tercera derivada
[src]
2
2 / ___\ / 2 \ / ___\ / ___\ 2 2 3 / 2 \ 2 / 2 \ 2 / 2 \ / ___\ / ___\ / ___\ / 2 \
6 3*acos (x) 2*sin\\/ x / 2*\1 + cot (x)/ 9*cos\\/ x / 3*sin\\/ x / cot(x)*sin(x) 9*x *acos (x) 6*sin (x)*cot(x) 3*\1 + cot (x)/*cos(x) 4*cot (x)*\1 + cot (x)/ 6*sin (x)*\1 + cot (x)/ 18*x*acos(x) cos\\/ x /*log(x) 3*log(x)*sin\\/ x / 3*cos\\/ x /*log(x) 6*cos(x)*cot(x)*sin(x) 6*\1 + cot (x)/*cot(x)*sin(x)
- ----------- - ----------- + ------------ + ---------------- - ------------ - ------------ + -------------- - ------------- - ---------------- + ---------------------- + ----------------------- + ----------------------- + ------------ - ----------------- + ------------------- + ------------------- - ---------------------- - -----------------------------
3/2 3/2 3 -1 + cos(x) 5/2 2 2 5/2 4 2 -1 + cos(x) 3 2 3/2 2 5/2 3 2
/ 2\ / 2\ x 4*x 4*x (-1 + cos(x)) / 2\ (-1 + cos(x)) (-1 + cos(x)) (-1 + cos(x)) / 2\ 8*x 8*x 8*x (-1 + cos(x)) (-1 + cos(x))
\1 - x / \1 - x / \1 - x / \-1 + x /
$$- \frac{9 x^{2} \operatorname{acos}^{2}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{18 x \operatorname{acos}{\left(x \right)}}{\left(x^{2} - 1\right)^{2}} + \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cos{\left(x \right)} - 1} + \frac{4 \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)}}{\cos{\left(x \right)} - 1} - \frac{6 \left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(x \right)} \cot{\left(x \right)}}{\left(\cos{\left(x \right)} - 1\right)^{2}} + \frac{3 \left(\cot^{2}{\left(x \right)} + 1\right) \cos{\left(x \right)}}{\left(\cos{\left(x \right)} - 1\right)^{2}} + \frac{\sin{\left(x \right)} \cot{\left(x \right)}}{\left(\cos{\left(x \right)} - 1\right)^{2}} + \frac{6 \left(\cot^{2}{\left(x \right)} + 1\right) \sin^{2}{\left(x \right)}}{\left(\cos{\left(x \right)} - 1\right)^{3}} - \frac{6 \sin{\left(x \right)} \cos{\left(x \right)} \cot{\left(x \right)}}{\left(\cos{\left(x \right)} - 1\right)^{3}} - \frac{6 \sin^{3}{\left(x \right)} \cot{\left(x \right)}}{\left(\cos{\left(x \right)} - 1\right)^{4}} - \frac{3 \operatorname{acos}^{2}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{6}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3 \log{\left(x \right)} \sin{\left(\sqrt{x} \right)}}{8 x^{2}} - \frac{3 \sin{\left(\sqrt{x} \right)}}{4 x^{2}} + \frac{2 \sin{\left(\sqrt{x} \right)}}{x^{3}} - \frac{\log{\left(x \right)} \cos{\left(\sqrt{x} \right)}}{8 x^{\frac{3}{2}}} + \frac{3 \log{\left(x \right)} \cos{\left(\sqrt{x} \right)}}{8 x^{\frac{5}{2}}} - \frac{9 \cos{\left(\sqrt{x} \right)}}{4 x^{\frac{5}{2}}}$$
Gráfico