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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- Derivada de:
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Derivada de e^-1
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Derivada de (x^2)'
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Derivada de y
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Derivada de 16/x
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Expresiones idénticas
- y=tg6x*arcsinxx*exp(-x)
- y es igual a tg6x multiplicar por arc seno de xx multiplicar por exponente de ( menos x)
- y=tg6xarcsinxxexp(-x)
- y=tg6xarcsinxxexp-x
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Expresiones semejantes
- y=tg6x*arcsinxx*exp(x)
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Expresiones con funciones
- Exponente exp
- exp(8*x)
- exp(x^1/2)
- exp(2*x)
- exp(y)
Derivada de y=tg6x*arcsinxx*exp(-x)
Solución
Ha introducido
[src]
-x tan(6*x)*asin(x)*x*e
$$x \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} e^{- x}$$
((tan(6*x)*asin(x))*x)*exp(-x)
Primera derivada
[src]
/ / tan(6*x) / 2 \ \ \ -x -x |x*|----------- + \6 + 6*tan (6*x)/*asin(x)| + tan(6*x)*asin(x)|*e - x*asin(x)*e *tan(6*x) | | ________ | | | | / 2 | | \ \\/ 1 - x / /
$$- x e^{- x} \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + \left(x \left(\left(6 \tan^{2}{\left(6 x \right)} + 6\right) \operatorname{asin}{\left(x \right)} + \frac{\tan{\left(6 x \right)}}{\sqrt{1 - x^{2}}}\right) + \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)}\right) e^{- x}$$
Segunda derivada
[src]
/ / / 2 \ \ \ | |12*\1 + tan (6*x)/ x*tan(6*x) / 2 \ | / tan(6*x) / 2 \ \ 2*tan(6*x) / 2 \ | -x |x*|------------------ + ----------- + 72*\1 + tan (6*x)/*asin(x)*tan(6*x)| - 2*x*|----------- + 6*\1 + tan (6*x)/*asin(x)| - 2*asin(x)*tan(6*x) + ----------- + 12*\1 + tan (6*x)/*asin(x) + x*asin(x)*tan(6*x)|*e | | ________ 3/2 | | ________ | ________ | | | / 2 / 2\ | | / 2 | / 2 | \ \ \/ 1 - x \1 - x / / \\/ 1 - x / \/ 1 - x /
$$\left(- 2 x \left(6 \left(\tan^{2}{\left(6 x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + \frac{\tan{\left(6 x \right)}}{\sqrt{1 - x^{2}}}\right) + x \left(\frac{x \tan{\left(6 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 72 \left(\tan^{2}{\left(6 x \right)} + 1\right) \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + \frac{12 \left(\tan^{2}{\left(6 x \right)} + 1\right)}{\sqrt{1 - x^{2}}}\right) + x \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + 12 \left(\tan^{2}{\left(6 x \right)} + 1\right) \operatorname{asin}{\left(x \right)} - 2 \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + \frac{2 \tan{\left(6 x \right)}}{\sqrt{1 - x^{2}}}\right) e^{- x}$$
Tercera derivada
[src]
/ / / 2 \ \ \ | | | 3*x | | | | | |-1 + -------|*tan(6*x) | | | | | 2| / 2 \ / 2 \ | / / 2 \ \ / 2 \ | | | \ -1 + x / 18*x*\1 + tan (6*x)/ 216*\1 + tan (6*x)/*tan(6*x) / 2 \ / 2 \ | / 2 \ 6*tan(6*x) |12*\1 + tan (6*x)/ x*tan(6*x) / 2 \ | / tan(6*x) / 2 \ \ 36*\1 + tan (6*x)/ 3*x*tan(6*x) / 2 \ | -x |x*|- ----------------------- + -------------------- + ---------------------------- + 432*\1 + tan (6*x)/*\1 + 3*tan (6*x)/*asin(x)| - 36*\1 + tan (6*x)/*asin(x) - ----------- - 3*x*|------------------ + ----------- + 72*\1 + tan (6*x)/*asin(x)*tan(6*x)| + 3*x*|----------- + 6*\1 + tan (6*x)/*asin(x)| + 3*asin(x)*tan(6*x) + ------------------ - x*asin(x)*tan(6*x) + ------------ + 216*\1 + tan (6*x)/*asin(x)*tan(6*x)|*e | | 3/2 3/2 ________ | ________ | ________ 3/2 | | ________ | ________ 3/2 | | | / 2\ / 2\ / 2 | / 2 | / 2 / 2\ | | / 2 | / 2 / 2\ | \ \ \1 - x / \1 - x / \/ 1 - x / \/ 1 - x \ \/ 1 - x \1 - x / / \\/ 1 - x / \/ 1 - x \1 - x / /
$$\left(3 x \left(6 \left(\tan^{2}{\left(6 x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + \frac{\tan{\left(6 x \right)}}{\sqrt{1 - x^{2}}}\right) - 3 x \left(\frac{x \tan{\left(6 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 72 \left(\tan^{2}{\left(6 x \right)} + 1\right) \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + \frac{12 \left(\tan^{2}{\left(6 x \right)} + 1\right)}{\sqrt{1 - x^{2}}}\right) + x \left(\frac{18 x \left(\tan^{2}{\left(6 x \right)} + 1\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 432 \left(\tan^{2}{\left(6 x \right)} + 1\right) \left(3 \tan^{2}{\left(6 x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + \frac{216 \left(\tan^{2}{\left(6 x \right)} + 1\right) \tan{\left(6 x \right)}}{\sqrt{1 - x^{2}}} - \frac{\left(\frac{3 x^{2}}{x^{2} - 1} - 1\right) \tan{\left(6 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right) - x \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + \frac{3 x \tan{\left(6 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 216 \left(\tan^{2}{\left(6 x \right)} + 1\right) \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} - 36 \left(\tan^{2}{\left(6 x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + 3 \tan{\left(6 x \right)} \operatorname{asin}{\left(x \right)} + \frac{36 \left(\tan^{2}{\left(6 x \right)} + 1\right)}{\sqrt{1 - x^{2}}} - \frac{6 \tan{\left(6 x \right)}}{\sqrt{1 - x^{2}}}\right) e^{- x}$$
Gráfico