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 x^-(4/5)
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Derivada de x^-8
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Derivada de x^2/lnx
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Derivada de √x+2
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Expresiones idénticas
- (x+sec(e^x))tanhx
- (x más sec(e en el grado x)) tangente de gente hiperbólica de x
- (x+sec(ex))tanhx
- x+secextanhx
- x+sece^xtanhx
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Expresiones semejantes
- (x-sec(e^x))tanhx
Derivada de (x+sec(e^x))tanhx
Solución
Ha introducido
[src]
/ / x\\ \x + sec\E //*tanh(x)
$$\left(x + \sec{\left(e^{x} \right)}\right) \tanh{\left(x \right)}$$
(x + sec(E^x))*tanh(x)
Primera derivada
[src]
/ 2 \ / / x\\ / x / x\ / x\\ \1 - tanh (x)/*\x + sec\E // + \1 + e *sec\E /*tan\E //*tanh(x)
$$\left(1 - \tanh^{2}{\left(x \right)}\right) \left(x + \sec{\left(e^{x} \right)}\right) + \left(e^{x} \tan{\left(e^{x} \right)} \sec{\left(e^{x} \right)} + 1\right) \tanh{\left(x \right)}$$
Segunda derivada
[src]
/ x / x\ / x\\ / 2 \ / 2 \ / / x\\ / 2/ x\ x / 2/ x\\ x / x\\ x / x\ - 2*\1 + e *sec\E /*tan\E //*\-1 + tanh (x)/ + 2*\-1 + tanh (x)/*\x + sec\E //*tanh(x) + \tan \E /*e + \1 + tan \E //*e + tan\E //*e *sec\E /*tanh(x)
$$2 \left(x + \sec{\left(e^{x} \right)}\right) \left(\tanh^{2}{\left(x \right)} - 1\right) \tanh{\left(x \right)} - 2 \left(e^{x} \tan{\left(e^{x} \right)} \sec{\left(e^{x} \right)} + 1\right) \left(\tanh^{2}{\left(x \right)} - 1\right) + \left(\left(\tan^{2}{\left(e^{x} \right)} + 1\right) e^{x} + e^{x} \tan^{2}{\left(e^{x} \right)} + \tan{\left(e^{x} \right)}\right) e^{x} \tanh{\left(x \right)} \sec{\left(e^{x} \right)}$$
Tercera derivada
[src]
/ 2 \ / 2 \ / / x\\ / x / x\ / x\\ / 2 \ / 3/ x\ 2*x 2/ x\ x / 2/ x\\ x / 2/ x\\ 2*x / x\ / x\\ x / x\ / 2 \ / 2/ x\ x / 2/ x\\ x / x\\ x / x\ - 2*\-1 + tanh (x)/*\-1 + 3*tanh (x)/*\x + sec\E // + 6*\1 + e *sec\E /*tan\E //*\-1 + tanh (x)/*tanh(x) + \tan \E /*e + 3*tan \E /*e + 3*\1 + tan \E //*e + 5*\1 + tan \E //*e *tan\E / + tan\E //*e *sec\E /*tanh(x) - 3*\-1 + tanh (x)/*\tan \E /*e + \1 + tan \E //*e + tan\E //*e *sec\E /
$$- 2 \left(x + \sec{\left(e^{x} \right)}\right) \left(\tanh^{2}{\left(x \right)} - 1\right) \left(3 \tanh^{2}{\left(x \right)} - 1\right) + 6 \left(e^{x} \tan{\left(e^{x} \right)} \sec{\left(e^{x} \right)} + 1\right) \left(\tanh^{2}{\left(x \right)} - 1\right) \tanh{\left(x \right)} - 3 \left(\tanh^{2}{\left(x \right)} - 1\right) \left(\left(\tan^{2}{\left(e^{x} \right)} + 1\right) e^{x} + e^{x} \tan^{2}{\left(e^{x} \right)} + \tan{\left(e^{x} \right)}\right) e^{x} \sec{\left(e^{x} \right)} + \left(5 \left(\tan^{2}{\left(e^{x} \right)} + 1\right) e^{2 x} \tan{\left(e^{x} \right)} + 3 \left(\tan^{2}{\left(e^{x} \right)} + 1\right) e^{x} + e^{2 x} \tan^{3}{\left(e^{x} \right)} + 3 e^{x} \tan^{2}{\left(e^{x} \right)} + \tan{\left(e^{x} \right)}\right) e^{x} \tanh{\left(x \right)} \sec{\left(e^{x} \right)}$$
Gráfico