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
-
¿Cómo usar?
- Derivada de:
-
Derivada de sin(x/2)
-
Derivada de 3/x
-
Derivada de x^9
-
Derivada de sqrt(x^2+1)
-
Expresiones idénticas
- y=arcsin^ tres (2x)*ctg(siete (x^ cuatro))
- y es igual a arc seno de al cubo (2x) multiplicar por ctg(7(x en el grado 4))
- y es igual a arc seno de en el grado tres (2x) multiplicar por ctg(siete (x en el grado cuatro))
- y=arcsin3(2x)*ctg(7(x4))
- y=arcsin32x*ctg7x4
- y=arcsin³(2x)*ctg(7(x⁴))
- y=arcsin en el grado 3(2x)*ctg(7(x en el grado 4))
- y=arcsin^3(2x)ctg(7(x^4))
- y=arcsin3(2x)ctg(7(x4))
- y=arcsin32xctg7x4
- y=arcsin^32xctg7x^4
-
Expresiones con funciones
- arcsin
- arcsin5x
- arcsin3x
- arcsin(2x-1)
- arcsin(x/3)
- arcsin(sqrt(x))
- ctg
- ctg(x/2)
- ctgx*cosx
- ctg(x)
- ctgx-1
- ctg6x
Derivada de y=arcsin^3(2x)*ctg(7(x^4))
Solución
Ha introducido
[src]
3 / 4\ asin (2*x)*cot\7*x /
$$\cot{\left(7 x^{4} \right)} \operatorname{asin}^{3}{\left(2 x \right)}$$
asin(2*x)^3*cot(7*x^4)
Primera derivada
[src]
2 / 4\
6*asin (2*x)*cot\7*x / 3 3 / 2/ 4\\
---------------------- + 28*x *asin (2*x)*\-1 - cot \7*x //
__________
/ 2
\/ 1 - 4*x
$$28 x^{3} \left(- \cot^{2}{\left(7 x^{4} \right)} - 1\right) \operatorname{asin}^{3}{\left(2 x \right)} + \frac{6 \cot{\left(7 x^{4} \right)} \operatorname{asin}^{2}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}$$
Segunda derivada
[src]
/ 3 / 2/ 4\\ \ | / 1 x*asin(2*x) \ / 4\ 84*x *\1 + cot \7*x //*asin(2*x) 2 2 / 2/ 4\\ / 4 / 4\\| 4*|6*|- --------- + -------------|*cot\7*x / - -------------------------------- + 7*x *asin (2*x)*\1 + cot \7*x //*\-3 + 56*x *cot\7*x //|*asin(2*x) | | 2 3/2| __________ | | | -1 + 4*x / 2\ | / 2 | \ \ \1 - 4*x / / \/ 1 - 4*x /
$$4 \left(- \frac{84 x^{3} \left(\cot^{2}{\left(7 x^{4} \right)} + 1\right) \operatorname{asin}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}} + 7 x^{2} \left(56 x^{4} \cot{\left(7 x^{4} \right)} - 3\right) \left(\cot^{2}{\left(7 x^{4} \right)} + 1\right) \operatorname{asin}^{2}{\left(2 x \right)} + 6 \left(\frac{x \operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{4 x^{2} - 1}\right) \cot{\left(7 x^{4} \right)}\right) \operatorname{asin}{\left(2 x \right)}$$
Tercera derivada
[src]
/ / 2 2 2 \ 2 2 / 2/ 4\\ / 4 / 4\\\ | | 2 asin (2*x) 12*x*asin(2*x) 12*x *asin (2*x)| / 4\ 3 / 2/ 4\\ / 1 x*asin(2*x) \ 3 / 2/ 4\\ / 4 / 4\ 8 / 2/ 4\\ 8 2/ 4\\ 63*x *asin (2*x)*\1 + cot \7*x //*\-3 + 56*x *cot\7*x //| 8*|3*|------------- + ------------- + -------------- + ----------------|*cot\7*x / - 252*x *\1 + cot \7*x //*|- --------- + -------------|*asin(2*x) - 7*x*asin (2*x)*\1 + cot \7*x //*\3 - 252*x *cot\7*x / + 784*x *\1 + cot \7*x // + 1568*x *cot \7*x // + --------------------------------------------------------| | | 3/2 3/2 2 5/2 | | 2 3/2| __________ | | |/ 2\ / 2\ / 2\ / 2\ | | -1 + 4*x / 2\ | / 2 | \ \\1 - 4*x / \1 - 4*x / \-1 + 4*x / \1 - 4*x / / \ \1 - 4*x / / \/ 1 - 4*x /
$$8 \left(- 252 x^{3} \left(\frac{x \operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{4 x^{2} - 1}\right) \left(\cot^{2}{\left(7 x^{4} \right)} + 1\right) \operatorname{asin}{\left(2 x \right)} + \frac{63 x^{2} \left(56 x^{4} \cot{\left(7 x^{4} \right)} - 3\right) \left(\cot^{2}{\left(7 x^{4} \right)} + 1\right) \operatorname{asin}^{2}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}} - 7 x \left(\cot^{2}{\left(7 x^{4} \right)} + 1\right) \left(784 x^{8} \left(\cot^{2}{\left(7 x^{4} \right)} + 1\right) + 1568 x^{8} \cot^{2}{\left(7 x^{4} \right)} - 252 x^{4} \cot{\left(7 x^{4} \right)} + 3\right) \operatorname{asin}^{3}{\left(2 x \right)} + 3 \left(\frac{12 x^{2} \operatorname{asin}^{2}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} + \frac{12 x \operatorname{asin}{\left(2 x \right)}}{\left(4 x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}^{2}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}\right) \cot{\left(7 x^{4} \right)}\right)$$
Gráfico