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 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=cos^ dos (cbrt(tg dos ^arcsinx))+exp^tg(x^2)
- y es igual a coseno de al cuadrado ( raíz cúbica de (tg2 en el grado arc seno de x)) más exponente de en el grado tg(x al cuadrado )
- y es igual a coseno de en el grado dos ( raíz cúbica de (tg dos en el grado arc seno de x)) más exponente de en el grado tg(x al cuadrado )
- y=cos2(cbrt(tg2arcsinx))+exptg(x2)
- y=cos2cbrttg2arcsinx+exptgx2
- y=cos²(cbrt(tg2^arcsinx))+exp^tg(x²)
- y=cos en el grado 2(cbrt(tg2 en el grado arcsinx))+exp en el grado tg(x en el grado 2)
- y=cos^2cbrttg2^arcsinx+exp^tgx^2
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Expresiones semejantes
- y=cos^2(cbrt(tg2^arcsinx))-exp^tg(x^2)
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Expresiones con funciones
- Coseno cos
- cos(x)/((5*x^2))
- cos(x)^(5)
- cos(x)/2
- cos(x)/5
- cos(4*(x^2)-sqrt(x))
- Raíz cúbica cbrt
- cbrt(x^3+1)
- cbrt(x+1)
- cbrt(x^2)
- cbrt(x-1)
- cbrt(x*(6-x)^2)
- arcsinx
- arcsinx^3
- Exponente exp
- exp(8*x)
- exp(x^1/2)
- exp(2*x)
- exp(y)
- tg
- tgx/x
- tgx-9x
- tg(x)^3
- tg(sinx)
- tg^3(2x)
Derivada de y=cos^2(cbrt(tg2^arcsinx))+exp^tg(x^2)
Solución
Ha introducido
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/ _______________\ / 2\ 2|3 / asin(x) | tan\x / cos \\/ tan (2) / + E
$$e^{\tan{\left(x^{2} \right)}} + \cos^{2}{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}$$
cos((tan(2)^asin(x))^(1/3))^2 + E^tan(x^2)
Primera derivada
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_______________ / _______________\ / _______________\
/ 2\ 3 / asin(x) |3 / asin(x) | |3 / asin(x) |
/ 2/ 2\\ tan\x / 2*\/ tan (2) *(pi*I + log(-tan(2)))*cos\\/ tan (2) /*sin\\/ tan (2) /
2*x*\1 + tan \x //*e - ------------------------------------------------------------------------------------------
________
/ 2
3*\/ 1 - x
$$2 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right) e^{\tan{\left(x^{2} \right)}} - \frac{2 \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \sin{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)} \cos{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}}{3 \sqrt{1 - x^{2}}}$$
Segunda derivada
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/ 2/3 / _______________\ 2/3 / _______________\ _______________ / _______________\ / _______________\ _______________ / _______________\ / _______________\\ | / 2\ 2 / 2\ / 2\ asin(x) 2 2|3 / asin(x) | asin(x) 2 2|3 / asin(x) | 3 / asin(x) 2 |3 / asin(x) | |3 / asin(x) | 3 / asin(x) |3 / asin(x) | |3 / asin(x) || |/ 2/ 2\\ tan\x / 2 / 2/ 2\\ tan\x / 2 / 2/ 2\\ tan\x / / 2\ tan (2) *(pi*I + log(-tan(2))) *sin \\/ tan (2) / tan (2) *(pi*I + log(-tan(2))) *cos \\/ tan (2) / \/ tan (2) *(pi*I + log(-tan(2))) *cos\\/ tan (2) /*sin\\/ tan (2) / x*\/ tan (2) *(pi*I + log(-tan(2)))*cos\\/ tan (2) /*sin\\/ tan (2) /| 2*|\1 + tan \x //*e + 2*x *\1 + tan \x // *e + 4*x *\1 + tan \x //*e *tan\x / - ---------------------------------------------------------------- + ---------------------------------------------------------------- + ----------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------| | / 2\ / 2\ / 2\ 3/2 | | 9*\-1 + x / 9*\-1 + x / 9*\-1 + x / / 2\ | \ 3*\1 - x / /
$$2 \left(2 x^{2} \left(\tan^{2}{\left(x^{2} \right)} + 1\right)^{2} e^{\tan{\left(x^{2} \right)}} + 4 x^{2} \left(\tan^{2}{\left(x^{2} \right)} + 1\right) e^{\tan{\left(x^{2} \right)}} \tan{\left(x^{2} \right)} - \frac{x \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \sin{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)} \cos{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}}{3 \left(1 - x^{2}\right)^{\frac{3}{2}}} + \left(\tan^{2}{\left(x^{2} \right)} + 1\right) e^{\tan{\left(x^{2} \right)}} - \frac{\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{2} \left(\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}\right)^{\frac{2}{3}} \sin^{2}{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}}{9 \left(x^{2} - 1\right)} + \frac{\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{2} \left(\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}\right)^{\frac{2}{3}} \cos^{2}{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}}{9 \left(x^{2} - 1\right)} + \frac{\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{2} \sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \sin{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)} \cos{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}}{9 \left(x^{2} - 1\right)}\right)$$
Tercera derivada
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/ 2/3 / _______________\ 2/3 / _______________\ 2/3 / _______________\ _______________ / _______________\ / _______________\ _______________ / _______________\ / _______________\ 2/3 / _______________\ / _______________\ / _______________\ _______________ / _______________\ / _______________\ _______________ / _______________\ / _______________\\ | 3 / 2\ 2 / 2\ 2 / 2\ / 2\ / 2\ 2 / 2\ asin(x) 3 2|3 / asin(x) | asin(x) 3 2|3 / asin(x) | asin(x) 2 2|3 / asin(x) | 3 / asin(x) |3 / asin(x) | |3 / asin(x) | 3 / asin(x) 3 |3 / asin(x) | |3 / asin(x) | asin(x) 2 2|3 / asin(x) | 3 asin(x) |3 / asin(x) | |3 / asin(x) | 2 3 / asin(x) |3 / asin(x) | |3 / asin(x) | 3 / asin(x) 2 |3 / asin(x) | |3 / asin(x) || | 3 / 2/ 2\\ tan\x / / 2/ 2\\ tan\x / 3 / 2/ 2\\ tan\x / / 2/ 2\\ tan\x / / 2\ 3 2/ 2\ / 2/ 2\\ tan\x / 3 / 2/ 2\\ tan\x / / 2\ tan (2) *(pi*I + log(-tan(2))) *cos \\/ tan (2) / tan (2) *(pi*I + log(-tan(2))) *sin \\/ tan (2) / x*tan (2) *(pi*I + log(-tan(2))) *cos \\/ tan (2) / \/ tan (2) *(pi*I + log(-tan(2)))*cos\\/ tan (2) /*sin\\/ tan (2) / \/ tan (2) *(pi*I + log(-tan(2))) *cos\\/ tan (2) /*sin\\/ tan (2) / x*tan (2) *(pi*I + log(-tan(2))) *sin \\/ tan (2) / 4*(pi*I + log(-tan(2))) *tan (2)*cos\\/ tan (2) /*sin\\/ tan (2) / x *\/ tan (2) *(pi*I + log(-tan(2)))*cos\\/ tan (2) /*sin\\/ tan (2) / x*\/ tan (2) *(pi*I + log(-tan(2))) *cos\\/ tan (2) /*sin\\/ tan (2) /| 2*|4*x *\1 + tan \x // *e + 6*x*\1 + tan \x // *e + 8*x *\1 + tan \x // *e + 12*x*\1 + tan \x //*e *tan\x / + 16*x *tan \x /*\1 + tan \x //*e + 24*x *\1 + tan \x // *e *tan\x / - ---------------------------------------------------------------- + ---------------------------------------------------------------- - ------------------------------------------------------------------ - ---------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------- + ------------------------------------------------------------------ + -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------| | 3/2 3/2 2 3/2 3/2 2 3/2 5/2 2 | | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ | \ 9*\1 - x / 9*\1 - x / 3*\-1 + x / 3*\1 - x / 27*\1 - x / 3*\-1 + x / 27*\1 - x / \1 - x / 3*\-1 + x / /
$$2 \left(4 x^{3} \left(\tan^{2}{\left(x^{2} \right)} + 1\right)^{3} e^{\tan{\left(x^{2} \right)}} + 24 x^{3} \left(\tan^{2}{\left(x^{2} \right)} + 1\right)^{2} e^{\tan{\left(x^{2} \right)}} \tan{\left(x^{2} \right)} + 8 x^{3} \left(\tan^{2}{\left(x^{2} \right)} + 1\right)^{2} e^{\tan{\left(x^{2} \right)}} + 16 x^{3} \left(\tan^{2}{\left(x^{2} \right)} + 1\right) e^{\tan{\left(x^{2} \right)}} \tan^{2}{\left(x^{2} \right)} - \frac{x^{2} \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \sin{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)} \cos{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + 6 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right)^{2} e^{\tan{\left(x^{2} \right)}} + 12 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right) e^{\tan{\left(x^{2} \right)}} \tan{\left(x^{2} \right)} + \frac{x \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{2} \left(\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}\right)^{\frac{2}{3}} \sin^{2}{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}}{3 \left(x^{2} - 1\right)^{2}} - \frac{x \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{2} \left(\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}\right)^{\frac{2}{3}} \cos^{2}{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}}{3 \left(x^{2} - 1\right)^{2}} - \frac{x \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{2} \sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \sin{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)} \cos{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}}{3 \left(x^{2} - 1\right)^{2}} + \frac{\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{3} \left(\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}\right)^{\frac{2}{3}} \sin^{2}{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}}{9 \left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{3} \left(\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}\right)^{\frac{2}{3}} \cos^{2}{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}}{9 \left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \sin{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)} \cos{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}}{3 \left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{3} \sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \sin{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)} \cos{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)}}{27 \left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{4 \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{3} \sin{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)} \cos{\left(\sqrt[3]{\tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}} \right)} \tan^{\operatorname{asin}{\left(x \right)}}{\left(2 \right)}}{27 \left(1 - x^{2}\right)^{\frac{3}{2}}}\right)$$
Gráfico