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^-8
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Derivada de x^2/lnx
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Derivada de √x+2
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Derivada de (t^(2)+1)÷(t^(1÷2)-1)
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Expresiones idénticas
- е^(cuatro *x)-(cos(dos ^x+tg(x)))^ cuatro
- е en el grado (4 multiplicar por x) menos ( coseno de (2 en el grado x más tg(x))) en el grado 4
- е en el grado (cuatro multiplicar por x) menos ( coseno de (dos en el grado x más tg(x))) en el grado cuatro
- е(4*x)-(cos(2x+tg(x)))4
- е4*x-cos2x+tgx4
- е^(4*x)-(cos(2^x+tg(x)))⁴
- е^(4x)-(cos(2^x+tg(x)))^4
- е(4x)-(cos(2x+tg(x)))4
- е4x-cos2x+tgx4
- е^4x-cos2^x+tgx^4
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Expresiones semejantes
- е^(4*x)-(cos(2^x-tg(x)))^4
- е^(4*x)+(cos(2^x+tg(x)))^4
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Expresiones con funciones
- Coseno cos
- cos^-1x
- cos(5)^(2)*x
- cos^(7)(4x^(3)-((5)/(x))+4x)
- cos3^x
- cos^5(3x)
Derivada de е^(4*x)-(cos(2^x+tg(x)))^4
Solución
Ha introducido
[src]
4*x 4/ x \ E - cos \2 + tan(x)/
$$e^{4 x} - \cos^{4}{\left(2^{x} + \tan{\left(x \right)} \right)}$$
E^(4*x) - cos(2^x + tan(x))^4
Primera derivada
[src]
4*x 3/ x \ / 2 x \ / x \ 4*e + 4*cos \2 + tan(x)/*\1 + tan (x) + 2 *log(2)/*sin\2 + tan(x)/
$$4 \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right) \sin{\left(2^{x} + \tan{\left(x \right)} \right)} \cos^{3}{\left(2^{x} + \tan{\left(x \right)} \right)} + 4 e^{4 x}$$
Segunda derivada
[src]
/ 2 2 \ | 4*x / 2 x \ 4/ x \ 3/ x \ / x 2 / 2 \ \ / x \ / 2 x \ 2/ x \ 2/ x \| 4*\4*e + \1 + tan (x) + 2 *log(2)/ *cos \2 + tan(x)/ + cos \2 + tan(x)/*\2 *log (2) + 2*\1 + tan (x)/*tan(x)/*sin\2 + tan(x)/ - 3*\1 + tan (x) + 2 *log(2)/ *cos \2 + tan(x)/*sin \2 + tan(x)//
$$4 \left(\left(2^{x} \log{\left(2 \right)}^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}\right) \sin{\left(2^{x} + \tan{\left(x \right)} \right)} \cos^{3}{\left(2^{x} + \tan{\left(x \right)} \right)} - 3 \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right)^{2} \sin^{2}{\left(2^{x} + \tan{\left(x \right)} \right)} \cos^{2}{\left(2^{x} + \tan{\left(x \right)} \right)} + \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right)^{2} \cos^{4}{\left(2^{x} + \tan{\left(x \right)} \right)} + 4 e^{4 x}\right)$$
Tercera derivada
[src]
/ / 2 \ 3 3 \ | 4*x 3/ x \ | / 2 \ x 3 2 / 2 \| / x \ / 2 x \ 3/ x \ / x \ 4/ x \ / x 2 / 2 \ \ / 2 x \ / 2 x \ 3/ x \ / x \ 2/ x \ 2/ x \ / x 2 / 2 \ \ / 2 x \| 4*\16*e + cos \2 + tan(x)/*\2*\1 + tan (x)/ + 2 *log (2) + 4*tan (x)*\1 + tan (x)//*sin\2 + tan(x)/ - 10*\1 + tan (x) + 2 *log(2)/ *cos \2 + tan(x)/*sin\2 + tan(x)/ + 3*cos \2 + tan(x)/*\2 *log (2) + 2*\1 + tan (x)/*tan(x)/*\1 + tan (x) + 2 *log(2)/ + 6*\1 + tan (x) + 2 *log(2)/ *sin \2 + tan(x)/*cos\2 + tan(x)/ - 9*cos \2 + tan(x)/*sin \2 + tan(x)/*\2 *log (2) + 2*\1 + tan (x)/*tan(x)/*\1 + tan (x) + 2 *log(2)//
$$4 \left(- 9 \left(2^{x} \log{\left(2 \right)}^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}\right) \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right) \sin^{2}{\left(2^{x} + \tan{\left(x \right)} \right)} \cos^{2}{\left(2^{x} + \tan{\left(x \right)} \right)} + 3 \left(2^{x} \log{\left(2 \right)}^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}\right) \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right) \cos^{4}{\left(2^{x} + \tan{\left(x \right)} \right)} + 6 \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right)^{3} \sin^{3}{\left(2^{x} + \tan{\left(x \right)} \right)} \cos{\left(2^{x} + \tan{\left(x \right)} \right)} - 10 \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right)^{3} \sin{\left(2^{x} + \tan{\left(x \right)} \right)} \cos^{3}{\left(2^{x} + \tan{\left(x \right)} \right)} + \left(2^{x} \log{\left(2 \right)}^{3} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}\right) \sin{\left(2^{x} + \tan{\left(x \right)} \right)} \cos^{3}{\left(2^{x} + \tan{\left(x \right)} \right)} + 16 e^{4 x}\right)$$
Gráfico