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 sin(2*x+3)
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Derivada de 5^10
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Derivada de 2/e^x
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Derivada de e^(2*cos(t)^(2)-2*sin(t)^(2))
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Expresiones idénticas
- y=ch(ln(tg2x))+4x^ tres
- y es igual a ch(ln(tg2x)) más 4x al cubo
- y es igual a ch(ln(tg2x)) más 4x en el grado tres
- y=ch(ln(tg2x))+4x3
- y=chlntg2x+4x3
- y=ch(ln(tg2x))+4x³
- y=ch(ln(tg2x))+4x en el grado 3
- y=chlntg2x+4x^3
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Expresiones semejantes
- y=ch(ln(tg2x))-4x^3
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Expresiones con funciones
- ln
- ln((x+1)÷(x-1))
- ln(x^1/2)
- ln(tg(2x))
- ln(x+k)
- lnsin(x)
Derivada de y=ch(ln(tg2x))+4x^3
Solución
Ha introducido
[src]
3 cosh(log(tan(2*x))) + 4*x
$$4 x^{3} + \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}$$
cosh(log(tan(2*x))) + 4*x^3
Primera derivada
[src]
/ 2 \
2 \2 + 2*tan (2*x)/*sinh(log(tan(2*x)))
12*x + -------------------------------------
tan(2*x)
$$12 x^{2} + \frac{\left(2 \tan^{2}{\left(2 x \right)} + 2\right) \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan{\left(2 x \right)}}$$
Segunda derivada
[src]
/ 2 2 \ | / 2 \ / 2 \ | | / 2 \ \1 + tan (2*x)/ *cosh(log(tan(2*x))) \1 + tan (2*x)/ *sinh(log(tan(2*x)))| 4*|6*x + 2*\1 + tan (2*x)/*sinh(log(tan(2*x))) + ------------------------------------ - ------------------------------------| | 2 2 | \ tan (2*x) tan (2*x) /
$$4 \left(6 x - \frac{\left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{2}{\left(2 x \right)}} + \frac{\left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{2}{\left(2 x \right)}} + 2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}\right)$$
Tercera derivada
[src]
/ 2 3 3 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ | | 4*\1 + tan (2*x)/ *sinh(log(tan(2*x))) 3*\1 + tan (2*x)/ *cosh(log(tan(2*x))) 3*\1 + tan (2*x)/ *sinh(log(tan(2*x))) / 2 \ 6*\1 + tan (2*x)/ *cosh(log(tan(2*x)))| 8*|3 - -------------------------------------- - -------------------------------------- + -------------------------------------- + 4*\1 + tan (2*x)/*sinh(log(tan(2*x)))*tan(2*x) + --------------------------------------| | tan(2*x) 3 3 tan(2*x) | \ tan (2*x) tan (2*x) /
$$8 \left(\frac{3 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{3} \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{3}{\left(2 x \right)}} - \frac{3 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{3} \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{3}{\left(2 x \right)}} - \frac{4 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan{\left(2 x \right)}} + \frac{6 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan{\left(2 x \right)}} + 4 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)} \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)} + 3\right)$$
Gráfico