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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- Derivada de:
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Derivada de x^4/3-x
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Derivada de x^-4/5
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Derivada de x=1
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Derivada de x^2*2^x
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Expresiones idénticas
- (x*(x+ dos))/(tres *(x+ uno)^ dos *(x+ uno)^(- uno)*absolute(x^(cuatro / tres)))
- (x multiplicar por (x más 2)) dividir por (3 multiplicar por (x más 1) al cuadrado multiplicar por (x más 1) en el grado ( menos 1) multiplicar por absolute(x en el grado (4 dividir por 3)))
- (x multiplicar por (x más dos)) dividir por (tres multiplicar por (x más uno) en el grado dos multiplicar por (x más uno) en el grado ( menos uno) multiplicar por absolute(x en el grado (cuatro dividir por tres)))
- (x*(x+2))/(3*(x+1)2*(x+1)(-1)*absolute(x(4/3)))
- x*x+2/3*x+12*x+1-1*absolutex4/3
- (x*(x+2))/(3*(x+1)²*(x+1)^(-1)*absolute(x^(4/3)))
- (x*(x+2))/(3*(x+1) en el grado 2*(x+1) en el grado (-1)*absolute(x en el grado (4/3)))
- (x(x+2))/(3(x+1)^2(x+1)^(-1)absolute(x^(4/3)))
- (x(x+2))/(3(x+1)2(x+1)(-1)absolute(x(4/3)))
- xx+2/3x+12x+1-1absolutex4/3
- xx+2/3x+1^2x+1^-1absolutex^4/3
- (x*(x+2)) dividir por (3*(x+1)^2*(x+1)^(-1)*absolute(x^(4 dividir por 3)))
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Expresiones semejantes
- (x*(x+2))/(3*(x-1)^2*(x+1)^(-1)*absolute(x^(4/3)))
- (x*(x+2))/(3*(x+1)^2*(x-1)^(-1)*absolute(x^(4/3)))
- (x*(x-2))/(3*(x+1)^2*(x+1)^(-1)*absolute(x^(4/3)))
- (x*(x+2))/(3*(x+1)^2*(x+1)^(1)*absolute(x^(4/3)))
Derivada de (x*(x+2))/(3*(x+1)^2*(x+1)^(-1)*absolute(x^(4/3)))
Solución
Ha introducido
[src]
x*(x + 2)
-----------------
2
3*(x + 1) | 4/3|
----------*|x |
x + 1
$$\frac{x \left(x + 2\right)}{\frac{3 \left(x + 1\right)^{2}}{x + 1} \left|{x^{\frac{4}{3}}}\right|}$$
(x*(x + 2))/((((3*(x + 1)^2)/(x + 1))*Abs(x^(4/3))))
Primera derivada
[src]
/ / 5/3 5/3 \ \
| | / x \ 2/4*atan2(0, x)\ / x \ 2/4*atan2(0, x)\ | |
| |4*|-------| *cos |-------------|*sign(x) 4*|-------| *sin |-------------|*sign(x)| |
| | \sign(x)/ \ 3 / \sign(x)/ \ 3 / | / 4/3\|
| 3*(x + 1)*|------------------------------------------ + ------------------------------------------|*sign\x /|
| / 6 + 6*x\ | 4/3| \ 3 3 / |
x*(x + 2)*|- |-3 + -------|*|x | - --------------------------------------------------------------------------------------------------------------|
| \ x + 1 / 4/3 |
1 \ x /
----------------*(2 + 2*x) + ----------------------------------------------------------------------------------------------------------------------------------------------------
| 4/3| 2
3*(x + 1)*|x | 2 | 4/3|
9*(x + 1) *|x |
$$\frac{x \left(x + 2\right) \left(- \left(-3 + \frac{6 x + 6}{x + 1}\right) \left|{x^{\frac{4}{3}}}\right| - \frac{3 \left(x + 1\right) \left(\frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} \operatorname{sign}{\left(x \right)}}{3} + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} \operatorname{sign}{\left(x \right)}}{3}\right) \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}}}\right)}{9 \left(x + 1\right)^{2} \left|{x^{\frac{4}{3}}}\right|^{2}} + \frac{1}{3 \left(x + 1\right) \left|{x^{\frac{4}{3}}}\right|} \left(2 x + 2\right)$$
Segunda derivada
[src]
/ / 5/3 \ / 5/3 \ \
| | / x \ / 2/4*atan2(0, x)\ 2/4*atan2(0, x)\\ / 4/3\| | / x \ / 2/4*atan2(0, x)\ 2/4*atan2(0, x)\\ / 4/3\| |
| | 4*|-------| *(1 + x)*|cos |-------------| + sin |-------------||*sign(x)*sign\x /| / / 2/4*atan2(0, x)\ / 2*x*DiracDelta(x)\ 2/4*atan2(0, x)\ / 2*x*DiracDelta(x)\ \ / 2/4*atan2(0, x)\ 2/4*atan2(0, x)\\ / 4/3\\ 5/3 | 4*|-------| *(1 + x)*|cos |-------------| + sin |-------------||*sign(x)*sign\x /| |
/ 5/3 \ |/ 5/3 \ / 5/3 \ | | 4/3| \sign(x)/ \ \ 3 / \ 3 // | 5/3 | | 5*cos |-------------|*|-1 + -----------------|*sign(x) 5*sin |-------------|*|-1 + -----------------|*sign(x)| 4*(1 + x)*|cos |-------------| + sin |-------------||*sign(x)*sign\x /| / x \ / 2/4*atan2(0, x)\ 2/4*atan2(0, x)\\ | | 4/3| \sign(x)/ \ \ 3 / \ 3 // | / 4/3\|
| / x \ / 2/4*atan2(0, x)\ 2/4*atan2(0, x)\\ / 4/3\| || / x \ / 2/4*atan2(0, x)\ 2/4*atan2(0, x)\\ / 4/3\| | / x \ / 2/4*atan2(0, x)\ 2/4*atan2(0, x)\\ / 4/3\| 3*|3*|x | + -------------------------------------------------------------------------------------| / x \ | | 2/4*atan2(0, x)\ 2/4*atan2(0, x)\ \ 3 / \ sign(x) / \ 3 / \ sign(x) / | / 4/3\ / 2/4*atan2(0, x)\ 2/4*atan2(0, x)\\ / 4/3\ / 2/4*atan2(0, x)\ 2/4*atan2(0, x)\\ d / / 4/3\\ \ \ 3 / \ 3 // | 4*|-------| *|cos |-------------| + sin |-------------||*|3*|x | + -------------------------------------------------------------------------------------|*sign(x)*sign\x /|
| 4*|-------| *(1 + x)*|cos |-------------| + sin |-------------||*sign(x)*sign\x /| || 4*|-------| *|cos |-------------| + sin |-------------||*sign(x)*sign\x /| | 4*|-------| *(1 + x)*|cos |-------------| + sin |-------------||*sign(x)*sign\x /| | 4/3 | 4*|-------| *|(1 + x)*|6*cos |-------------|*DiracDelta(x) + 6*sin |-------------|*DiracDelta(x) - ------------------------------------------------------ - ------------------------------------------------------|*sign\x / + 6*|cos |-------------| + sin |-------------||*sign(x)*sign\x / + 3*(1 + x)*|cos |-------------| + sin |-------------||*--\sign\x //*sign(x) - ------------------------------------------------------------------------| \sign(x)/ \ \ 3 / \ 3 // | 4/3 | |
| | 4/3| \sign(x)/ \ \ 3 / \ 3 // | || 3 \sign(x)/ \ \ 3 / \ 3 // | | | 4/3| \sign(x)/ \ \ 3 / \ 3 // | \ x / \sign(x)/ \ \ \ 3 / \ 3 / x x / \ \ 3 / \ 3 // \ \ 3 / \ 3 // dx x / \ x / |
12*|3*|x | + -------------------------------------------------------------------------------------| x*(2 + x)*||----- + -----------------------------------------------------------------------------|*|3*|x | + -------------------------------------------------------------------------------------| + ---------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| 4/3 | ||1 + x 4/3 | 4/3| | | 4/3 | 1 + x 4/3 4/3 | 4/3| |
\ x / \\ x *|x | / \ x / x x *|x | /
18 - ----------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| 4/3| | 4/3|
|x | (1 + x)*|x |
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| 4/3|
27*(1 + x)*|x |
$$\frac{\frac{x \left(x + 2\right) \left(\left(\frac{3}{x + 1} + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}} \left|{x^{\frac{4}{3}}}\right|}\right) \left(3 \left|{x^{\frac{4}{3}}}\right| + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(x + 1\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}}}\right) + \frac{3 \left(3 \left|{x^{\frac{4}{3}}}\right| + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(x + 1\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}}}\right)}{x + 1} + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \left(3 \left|{x^{\frac{4}{3}}}\right| + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(x + 1\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}}}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}} \left|{x^{\frac{4}{3}}}\right|} - \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(3 \left(x + 1\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \frac{d}{d x} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)} + \left(x + 1\right) \left(6 \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} \delta\left(x\right) + 6 \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} \delta\left(x\right) - \frac{5 \left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} \operatorname{sign}{\left(x \right)}}{x} - \frac{5 \left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} \operatorname{sign}{\left(x \right)}}{x}\right) \operatorname{sign}{\left(x^{\frac{4}{3}} \right)} + 6 \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)} - \frac{4 \left(x + 1\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x}\right)}{x^{\frac{4}{3}}}\right)}{\left(x + 1\right) \left|{x^{\frac{4}{3}}}\right|} - \frac{12 \left(3 \left|{x^{\frac{4}{3}}}\right| + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(x + 1\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}}}\right)}{\left|{x^{\frac{4}{3}}}\right|} + 18}{27 \left(x + 1\right) \left|{x^{\frac{4}{3}}}\right|}$$
Gráfico