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^(x/2)
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Derivada de x^3*log(x)
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Derivada de 1+x
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Derivada de (x)^(1/2)
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Expresiones idénticas
- x*sqrt((tres *x- dos)/(tres *x+ dos))*tg(dos *x^ dos - nueve)exp(-x)
- x multiplicar por raíz cuadrada de ((3 multiplicar por x menos 2) dividir por (3 multiplicar por x más 2)) multiplicar por tg(2 multiplicar por x al cuadrado menos 9) exponente de ( menos x)
- x multiplicar por raíz cuadrada de ((tres multiplicar por x menos dos) dividir por (tres multiplicar por x más dos)) multiplicar por tg(dos multiplicar por x en el grado dos menos nueve) exponente de ( menos x)
- x*√((3*x-2)/(3*x+2))*tg(2*x^2-9)exp(-x)
- x*sqrt((3*x-2)/(3*x+2))*tg(2*x2-9)exp(-x)
- x*sqrt3*x-2/3*x+2*tg2*x2-9exp-x
- x*sqrt((3*x-2)/(3*x+2))*tg(2*x²-9)exp(-x)
- x*sqrt((3*x-2)/(3*x+2))*tg(2*x en el grado 2-9)exp(-x)
- xsqrt((3x-2)/(3x+2))tg(2x^2-9)exp(-x)
- xsqrt((3x-2)/(3x+2))tg(2x2-9)exp(-x)
- xsqrt3x-2/3x+2tg2x2-9exp-x
- xsqrt3x-2/3x+2tg2x^2-9exp-x
- x*sqrt((3*x-2) dividir por (3*x+2))*tg(2*x^2-9)exp(-x)
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Expresiones semejantes
- x*sqrt((3*x-2)/(3*x-2))*tg(2*x^2-9)exp(-x)
- x*sqrt((3*x-2)/(3*x+2))*tg(2*x^2+9)exp(-x)
- x*sqrt((3*x-2)/(3*x+2))*tg(2*x^2-9)exp(x)
- x*sqrt((3*x+2)/(3*x+2))*tg(2*x^2-9)exp(-x)
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(x+2)
- sqrtsinx
- sqrt(x)-(x^2-x-1)/sqrt(x)
- sqrt(x^2-6*x+13)
- sqrt(x^2-3)
- tg
- tgx
- tgx+sinx
- tg(x^3)
- tg^2×(2x)
- tg5x^1/5
- Exponente exp
- exp(x)*exp(x)
- exp(sin2x)
- exp(x)*1/x
- exp(2*x)
- exp(3*x)
Derivada de x*sqrt((3*x-2)/(3*x+2))*tg(2*x^2-9)exp(-x)
Solución
Ha introducido
[src]
_________
/ 3*x - 2 / 2 \ -x
x* / ------- *tan\2*x - 9/*e
\/ 3*x + 2
$$x \sqrt{\frac{3 x - 2}{3 x + 2}} \tan{\left(2 x^{2} - 9 \right)} e^{- x}$$
((x*sqrt((3*x - 2)/(3*x + 2)))*tan(2*x^2 - 9))*exp(-x)
Primera derivada
[src]
// _________ \ \ || / 3*x - 2 / 3 3*(3*x - 2) \| | || x* / ------- *(3*x + 2)*|----------- - ------------|| | || _________ \/ 3*x + 2 |2*(3*x + 2) 2|| _________ | _________ || / 3*x - 2 \ 2*(3*x + 2) /| / 2 \ 2 / 3*x - 2 / 2/ 2 \\| -x / 3*x - 2 -x / 2 \ || / ------- + ------------------------------------------------------|*tan\2*x - 9/ + 4*x * / ------- *\1 + tan \2*x - 9//|*e - x* / ------- *e *tan\2*x - 9/ \\\/ 3*x + 2 3*x - 2 / \/ 3*x + 2 / \/ 3*x + 2
$$- x \sqrt{\frac{3 x - 2}{3 x + 2}} e^{- x} \tan{\left(2 x^{2} - 9 \right)} + \left(4 x^{2} \sqrt{\frac{3 x - 2}{3 x + 2}} \left(\tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right) + \left(\frac{x \sqrt{\frac{3 x - 2}{3 x + 2}} \left(3 x + 2\right) \left(- \frac{3 \left(3 x - 2\right)}{2 \left(3 x + 2\right)^{2}} + \frac{3}{2 \left(3 x + 2\right)}\right)}{3 x - 2} + \sqrt{\frac{3 x - 2}{3 x + 2}}\right) \tan{\left(2 x^{2} - 9 \right)}\right) e^{- x}$$
Segunda derivada
[src]
/ / / -2 + 3*x\\ \
| | | -1 + --------|| |
| / / -2 + 3*x\\ / / -2 + 3*x\\ / -2 + 3*x\ | | 2 2 2 + 3*x || / 2\|
__________ | | 3*x*|-1 + --------|| | 3*x*|-1 + --------|| 3*|-1 + --------|*|-4 + 3*x*|-------- + ------- + -------------||*tan\-9 + 2*x /|
/ -2 + 3*x | / 2\ | \ 2 + 3*x /| / 2\ 2 / 2/ 2\\ / 2/ 2\ 2 / 2/ 2\\ / 2\\ / 2/ 2\\ | \ 2 + 3*x /| \ 2 + 3*x / \ \-2 + 3*x 2 + 3*x -2 + 3*x // | -x
/ -------- *|x*tan\-9 + 2*x / + |-2 + -------------------|*tan\-9 + 2*x / - 8*x *\1 + tan \-9 + 2*x // + 4*x*\1 + tan \-9 + 2*x / + 8*x *\1 + tan \-9 + 2*x //*tan\-9 + 2*x // - 4*x*\1 + tan \-9 + 2*x //*|-2 + -------------------| + --------------------------------------------------------------------------------|*e
\/ 2 + 3*x \ \ -2 + 3*x / \ -2 + 3*x / 4*(-2 + 3*x) /
$$\sqrt{\frac{3 x - 2}{3 x + 2}} \left(- 8 x^{2} \left(\tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right) - 4 x \left(\frac{3 x \left(\frac{3 x - 2}{3 x + 2} - 1\right)}{3 x - 2} - 2\right) \left(\tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right) + 4 x \left(8 x^{2} \left(\tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right) \tan{\left(2 x^{2} - 9 \right)} + \tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right) + x \tan{\left(2 x^{2} - 9 \right)} + \left(\frac{3 x \left(\frac{3 x - 2}{3 x + 2} - 1\right)}{3 x - 2} - 2\right) \tan{\left(2 x^{2} - 9 \right)} + \frac{3 \left(3 x \left(\frac{2}{3 x + 2} + \frac{\frac{3 x - 2}{3 x + 2} - 1}{3 x - 2} + \frac{2}{3 x - 2}\right) - 4\right) \left(\frac{3 x - 2}{3 x + 2} - 1\right) \tan{\left(2 x^{2} - 9 \right)}}{4 \left(3 x - 2\right)}\right) e^{- x}$$
Tercera derivada
[src]
/ / / 2 \ \ \
| | | / -2 + 3*x\ / -2 + 3*x\ / -2 + 3*x\ | / -2 + 3*x\| |
| / / -2 + 3*x\\ / / -2 + 3*x\\ | | |-1 + --------| 6*|-1 + --------| 6*|-1 + --------| | 2*|-1 + --------|| / / -2 + 3*x\\|
| | 3*x*|-1 + --------|| | | -1 + --------|| / -2 + 3*x\ | 4 4 | 8 8 \ 2 + 3*x / \ 2 + 3*x / 8 \ 2 + 3*x / | \ 2 + 3*x /| / 2\ | | -1 + --------|||
| / / -2 + 3*x\\ | \ 2 + 3*x /| / 2\ / / -2 + 3*x\\ / -2 + 3*x\ | | 2 2 2 + 3*x || / 2\ 27*|-1 + --------|*|-------- + ------- - x*|----------- + ---------- + ---------------- + ----------------- + -------------------- + --------------------| + -----------------|*tan\-9 + 2*x / / 2/ 2\\ / -2 + 3*x\ | | 2 2 2 + 3*x |||
__________ | | 3*x*|-1 + --------|| 3*|-2 + -------------------|*tan\-9 + 2*x / | 3*x*|-1 + --------|| 9*|-1 + --------|*|-4 + 3*x*|-------- + ------- + -------------||*tan\-9 + 2*x / \ 2 + 3*x / |-2 + 3*x 2 + 3*x | 2 2 2 2 (-2 + 3*x)*(2 + 3*x) (-2 + 3*x)*(2 + 3*x)| -2 + 3*x | 9*x*\1 + tan \-9 + 2*x //*|-1 + --------|*|-4 + 3*x*|-------- + ------- + -------------|||
/ -2 + 3*x | / 2\ / 2/ 2\ 2 / 2/ 2\\ / 2\\ | \ 2 + 3*x /| / 2/ 2\ 2 / 2/ 2\\ / 2\\ 2 / 2/ 2\\ \ -2 + 3*x / / 2/ 2\\ | \ 2 + 3*x /| 2 / 2/ 2\\ / / 2\ 2 / 2/ 2\\ 2 2/ 2\\ \ 2 + 3*x / \ \-2 + 3*x 2 + 3*x -2 + 3*x // \ \(-2 + 3*x) (2 + 3*x) (-2 + 3*x) (-2 + 3*x) / / \ 2 + 3*x / \ \-2 + 3*x 2 + 3*x -2 + 3*x //| -x
/ -------- *|- x*tan\-9 + 2*x / - 12*x*\1 + tan \-9 + 2*x / + 8*x *\1 + tan \-9 + 2*x //*tan\-9 + 2*x // - 6*|-2 + -------------------|*\1 + tan \-9 + 2*x / + 8*x *\1 + tan \-9 + 2*x //*tan\-9 + 2*x // + 12*x *\1 + tan \-9 + 2*x // - ------------------------------------------- + 12*x*\1 + tan \-9 + 2*x //*|-2 + -------------------| + 32*x *\1 + tan \-9 + 2*x //*\3*tan\-9 + 2*x / + 4*x *\1 + tan \-9 + 2*x // + 8*x *tan \-9 + 2*x // - -------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------|*e
\/ 2 + 3*x \ \ -2 + 3*x / 2 \ -2 + 3*x / 4*(-2 + 3*x) 8*(-2 + 3*x) -2 + 3*x /
$$\sqrt{\frac{3 x - 2}{3 x + 2}} \left(32 x^{2} \left(\tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right) \left(4 x^{2} \left(\tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right) + 8 x^{2} \tan^{2}{\left(2 x^{2} - 9 \right)} + 3 \tan{\left(2 x^{2} - 9 \right)}\right) + 12 x^{2} \left(\tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right) + 12 x \left(\frac{3 x \left(\frac{3 x - 2}{3 x + 2} - 1\right)}{3 x - 2} - 2\right) \left(\tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right) - 12 x \left(8 x^{2} \left(\tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right) \tan{\left(2 x^{2} - 9 \right)} + \tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right) - x \tan{\left(2 x^{2} - 9 \right)} + \frac{9 x \left(3 x \left(\frac{2}{3 x + 2} + \frac{\frac{3 x - 2}{3 x + 2} - 1}{3 x - 2} + \frac{2}{3 x - 2}\right) - 4\right) \left(\frac{3 x - 2}{3 x + 2} - 1\right) \left(\tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right)}{3 x - 2} - 6 \left(\frac{3 x \left(\frac{3 x - 2}{3 x + 2} - 1\right)}{3 x - 2} - 2\right) \left(8 x^{2} \left(\tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right) \tan{\left(2 x^{2} - 9 \right)} + \tan^{2}{\left(2 x^{2} - 9 \right)} + 1\right) - \frac{3 \left(\frac{3 x \left(\frac{3 x - 2}{3 x + 2} - 1\right)}{3 x - 2} - 2\right) \tan{\left(2 x^{2} - 9 \right)}}{2} - \frac{9 \left(3 x \left(\frac{2}{3 x + 2} + \frac{\frac{3 x - 2}{3 x + 2} - 1}{3 x - 2} + \frac{2}{3 x - 2}\right) - 4\right) \left(\frac{3 x - 2}{3 x + 2} - 1\right) \tan{\left(2 x^{2} - 9 \right)}}{4 \left(3 x - 2\right)} + \frac{27 \left(\frac{3 x - 2}{3 x + 2} - 1\right) \left(- x \left(\frac{8}{\left(3 x + 2\right)^{2}} + \frac{6 \left(\frac{3 x - 2}{3 x + 2} - 1\right)}{\left(3 x - 2\right) \left(3 x + 2\right)} + \frac{8}{\left(3 x - 2\right) \left(3 x + 2\right)} + \frac{\left(\frac{3 x - 2}{3 x + 2} - 1\right)^{2}}{\left(3 x - 2\right)^{2}} + \frac{6 \left(\frac{3 x - 2}{3 x + 2} - 1\right)}{\left(3 x - 2\right)^{2}} + \frac{8}{\left(3 x - 2\right)^{2}}\right) + \frac{4}{3 x + 2} + \frac{2 \left(\frac{3 x - 2}{3 x + 2} - 1\right)}{3 x - 2} + \frac{4}{3 x - 2}\right) \tan{\left(2 x^{2} - 9 \right)}}{8 \left(3 x - 2\right)}\right) e^{- x}$$
Gráfico