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 e^((3*x)^2)
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Derivada de d/dx(x)
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Derivada de (cos(x))^x^2
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Derivada de (8*x-15)^5
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Expresiones idénticas
- x*exp(-x)arcsin^ tres (4x)*ctg(3x)
- x multiplicar por exponente de ( menos x)arc seno de al cubo (4x) multiplicar por ctg(3x)
- x multiplicar por exponente de ( menos x)arc seno de en el grado tres (4x) multiplicar por ctg(3x)
- x*exp(-x)arcsin3(4x)*ctg(3x)
- x*exp-xarcsin34x*ctg3x
- x*exp(-x)arcsin³(4x)*ctg(3x)
- x*exp(-x)arcsin en el grado 3(4x)*ctg(3x)
- xexp(-x)arcsin^3(4x)ctg(3x)
- xexp(-x)arcsin3(4x)ctg(3x)
- xexp-xarcsin34xctg3x
- xexp-xarcsin^34xctg3x
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Expresiones semejantes
- x*exp(x)arcsin^3(4x)*ctg(3x)
Derivada de x*exp(-x)arcsin^3(4x)*ctg(3x)
Solución
Ha introducido
[src]
-x 3 x*e *asin (4*x)*cot(3*x)
$$x e^{- x} \operatorname{asin}^{3}{\left(4 x \right)} \cot{\left(3 x \right)}$$
((x*exp(-x))*asin(4*x)^3)*cot(3*x)
Primera derivada
[src]
/ 2 -x\ | 3 / -x -x\ 12*x*asin (4*x)*e | 3 / 2 \ -x |asin (4*x)*\- x*e + e / + -------------------|*cot(3*x) + x*asin (4*x)*\-3 - 3*cot (3*x)/*e | ___________ | | / 2 | \ \/ 1 - 16*x /
$$x \left(- 3 \cot^{2}{\left(3 x \right)} - 3\right) e^{- x} \operatorname{asin}^{3}{\left(4 x \right)} + \left(\frac{12 x e^{- x} \operatorname{asin}^{2}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}} + \left(- x e^{- x} + e^{- x}\right) \operatorname{asin}^{3}{\left(4 x \right)}\right) \cot{\left(3 x \right)}$$
Segunda derivada
[src]
// 2 / 1 2*x*asin(4*x) \ 24*(-1 + x)*asin(4*x)\ / 2 \ / 12*x \ 2 / 2 \ \ -x ||asin (4*x)*(-2 + x) + 96*x*|- ---------- + --------------| - ---------------------|*cot(3*x) - 6*\1 + cot (3*x)/*|-(-1 + x)*asin(4*x) + --------------|*asin(4*x) + 18*x*asin (4*x)*\1 + cot (3*x)/*cot(3*x)|*asin(4*x)*e || | 2 3/2| ___________ | | ___________| | || | -1 + 16*x / 2\ | / 2 | | / 2 | | \\ \ \1 - 16*x / / \/ 1 - 16*x / \ \/ 1 - 16*x / /
$$\left(18 x \left(\cot^{2}{\left(3 x \right)} + 1\right) \cot{\left(3 x \right)} \operatorname{asin}^{2}{\left(4 x \right)} - 6 \left(\frac{12 x}{\sqrt{1 - 16 x^{2}}} - \left(x - 1\right) \operatorname{asin}{\left(4 x \right)}\right) \left(\cot^{2}{\left(3 x \right)} + 1\right) \operatorname{asin}{\left(4 x \right)} + \left(96 x \left(\frac{2 x \operatorname{asin}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{16 x^{2} - 1}\right) + \left(x - 2\right) \operatorname{asin}^{2}{\left(4 x \right)} - \frac{24 \left(x - 1\right) \operatorname{asin}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) \cot{\left(3 x \right)}\right) e^{- x} \operatorname{asin}{\left(4 x \right)}$$
Tercera derivada
[src]
// / 2 2 2 \ 2 \ \ || 3 | 2 asin (4*x) 24*x*asin(4*x) 48*x *asin (4*x)| / 1 2*x*asin(4*x) \ 36*asin (4*x)*(-2 + x)| / 2 \ / 2 / 1 2*x*asin(4*x) \ 24*(-1 + x)*asin(4*x)\ 3 / 2 \ / 2 \ 2 / 2 \ / 12*x \ | -x ||- asin (4*x)*(-3 + x) + 192*x*|-------------- + -------------- + -------------- + ----------------| - 288*(-1 + x)*|- ---------- + --------------|*asin(4*x) + ----------------------|*cot(3*x) - 9*\1 + cot (3*x)/*|asin (4*x)*(-2 + x) + 96*x*|- ---------- + --------------| - ---------------------|*asin(4*x) - 54*x*asin (4*x)*\1 + cot (3*x)/*\1 + 3*cot (3*x)/ + 54*asin (4*x)*\1 + cot (3*x)/*|-(-1 + x)*asin(4*x) + --------------|*cot(3*x)|*e || | 3/2 3/2 2 5/2 | | 2 3/2| ___________ | | | 2 3/2| ___________ | | ___________| | || |/ 2\ / 2\ / 2\ / 2\ | | -1 + 16*x / 2\ | / 2 | | | -1 + 16*x / 2\ | / 2 | | / 2 | | \\ \\1 - 16*x / \1 - 16*x / \-1 + 16*x / \1 - 16*x / / \ \1 - 16*x / / \/ 1 - 16*x / \ \ \1 - 16*x / / \/ 1 - 16*x / \ \/ 1 - 16*x / /
$$\left(- 54 x \left(\cot^{2}{\left(3 x \right)} + 1\right) \left(3 \cot^{2}{\left(3 x \right)} + 1\right) \operatorname{asin}^{3}{\left(4 x \right)} + 54 \left(\frac{12 x}{\sqrt{1 - 16 x^{2}}} - \left(x - 1\right) \operatorname{asin}{\left(4 x \right)}\right) \left(\cot^{2}{\left(3 x \right)} + 1\right) \cot{\left(3 x \right)} \operatorname{asin}^{2}{\left(4 x \right)} - 9 \left(\cot^{2}{\left(3 x \right)} + 1\right) \left(96 x \left(\frac{2 x \operatorname{asin}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{16 x^{2} - 1}\right) + \left(x - 2\right) \operatorname{asin}^{2}{\left(4 x \right)} - \frac{24 \left(x - 1\right) \operatorname{asin}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) \operatorname{asin}{\left(4 x \right)} + \left(192 x \left(\frac{48 x^{2} \operatorname{asin}^{2}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{5}{2}}} + \frac{24 x \operatorname{asin}{\left(4 x \right)}}{\left(16 x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}^{2}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}\right) - \left(x - 3\right) \operatorname{asin}^{3}{\left(4 x \right)} - 288 \left(x - 1\right) \left(\frac{2 x \operatorname{asin}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{16 x^{2} - 1}\right) \operatorname{asin}{\left(4 x \right)} + \frac{36 \left(x - 2\right) \operatorname{asin}^{2}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) \cot{\left(3 x \right)}\right) e^{- x}$$
Gráfico