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 ((arccos((3x)^(1/2)))*(sin(x))^2)/(7-5x)^(1/2)
-
Derivada de a(p)=4p-2e^(p)
-
Derivada de (acos(x)+asin(x))^2
-
Derivada de 8/√x
-
Expresiones idénticas
- ((arccos((3x)^(uno / dos)))*(sin(x))^ dos)/(siete -5x)^(uno / dos)
- ((arc coseno de ((3x) en el grado (1 dividir por 2))) multiplicar por ( seno de (x)) al cuadrado ) dividir por (7 menos 5x) en el grado (1 dividir por 2)
- ((arc coseno de ((3x) en el grado (uno dividir por dos))) multiplicar por ( seno de (x)) en el grado dos) dividir por (siete menos 5x) en el grado (uno dividir por dos)
- ((arccos((3x)(1/2)))*(sin(x))2)/(7-5x)(1/2)
- arccos3x1/2*sinx2/7-5x1/2
- ((arccos((3x)^(1/2)))*(sin(x))²)/(7-5x)^(1/2)
- ((arccos((3x) en el grado (1/2)))*(sin(x)) en el grado 2)/(7-5x) en el grado (1/2)
- ((arccos((3x)^(1/2)))(sin(x))^2)/(7-5x)^(1/2)
- ((arccos((3x)(1/2)))(sin(x))2)/(7-5x)(1/2)
- arccos3x1/2sinx2/7-5x1/2
- arccos3x^1/2sinx^2/7-5x^1/2
- ((arccos((3x)^(1 dividir por 2)))*(sin(x))^2) dividir por (7-5x)^(1 dividir por 2)
-
Expresiones semejantes
- ((arccos((3x)^(1/2)))*(sin(x))^2)/(7+5x)^(1/2)
- ((arccos((3x)^(1/2)))*(sinx)^2)/(7-5x)^(1/2)
Derivada de ((arccos((3x)^(1/2)))*(sin(x))^2)/(7-5x)^(1/2)
Solución
Ha introducido
[src]
/ _____\ 2
acos\\/ 3*x /*sin (x)
---------------------
_________
\/ 7 - 5*x
$$\frac{\sin^{2}{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)}}{\sqrt{7 - 5 x}}$$
(acos(sqrt(3*x))*sin(x)^2)/sqrt(7 - 5*x)
Primera derivada
[src]
___ 2
/ _____\ \/ 3 *sin (x)
2*acos\\/ 3*x /*cos(x)*sin(x) - -------------------
___ _________ 2 / _____\
2*\/ x *\/ 1 - 3*x 5*sin (x)*acos\\/ 3*x /
--------------------------------------------------- + -----------------------
_________ 3/2
\/ 7 - 5*x 2*(7 - 5*x)
$$\frac{2 \sin{\left(x \right)} \cos{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)} - \frac{\sqrt{3} \sin^{2}{\left(x \right)}}{2 \sqrt{x} \sqrt{1 - 3 x}}}{\sqrt{7 - 5 x}} + \frac{5 \sin^{2}{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)}}{2 \left(7 - 5 x\right)^{\frac{3}{2}}}$$
Segunda derivada
[src]
/ ___ \
| / _____\ \/ 3 *sin(x) |
5*|4*acos\\/ 3*x /*cos(x) - -----------------|*sin(x) ___ 2 /1 3 \
| ___ _________| 2 / _____\ ___ \/ 3 *sin (x)*|- + --------|
/ 2 2 \ / _____\ \ \/ x *\/ 1 - 3*x / 75*sin (x)*acos\\/ 3*x / 2*\/ 3 *cos(x)*sin(x) \x -1 + 3*x/
- 2*\sin (x) - cos (x)/*acos\\/ 3*x / + ----------------------------------------------------- + ------------------------ - --------------------- + ----------------------------
2*(7 - 5*x) 2 ___ _________ ___ _________
4*(7 - 5*x) \/ x *\/ 1 - 3*x 4*\/ x *\/ 1 - 3*x
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
_________
\/ 7 - 5*x
$$\frac{- 2 \left(\sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}\right) \operatorname{acos}{\left(\sqrt{3 x} \right)} + \frac{5 \left(4 \cos{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)} - \frac{\sqrt{3} \sin{\left(x \right)}}{\sqrt{x} \sqrt{1 - 3 x}}\right) \sin{\left(x \right)}}{2 \left(7 - 5 x\right)} + \frac{75 \sin^{2}{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)}}{4 \left(7 - 5 x\right)^{2}} + \frac{\sqrt{3} \left(\frac{3}{3 x - 1} + \frac{1}{x}\right) \sin^{2}{\left(x \right)}}{4 \sqrt{x} \sqrt{1 - 3 x}} - \frac{2 \sqrt{3} \sin{\left(x \right)} \cos{\left(x \right)}}{\sqrt{x} \sqrt{1 - 3 x}}}{\sqrt{7 - 5 x}}$$
Tercera derivada
[src]
/ ___ 2 /1 3 \ \
| \/ 3 *sin (x)*|- + --------| ___ | / ___ \
| / 2 2 \ / _____\ \x -1 + 3*x/ 8*\/ 3 *cos(x)*sin(x)| | / _____\ \/ 3 *sin(x) | ___ 2 /1 9 2 \
15*|8*\sin (x) - cos (x)/*acos\\/ 3*x / - ---------------------------- + ---------------------| 225*|4*acos\\/ 3*x /*cos(x) - -----------------|*sin(x) 3*\/ 3 *sin (x)*|-- + ----------- + ------------| ___ /1 3 \
| ___ _________ ___ _________ | | ___ _________| 2 / _____\ ___ / 2 2 \ | 2 2 x*(-1 + 3*x)| 3*\/ 3 *|- + --------|*cos(x)*sin(x)
\ \/ x *\/ 1 - 3*x \/ x *\/ 1 - 3*x / / _____\ \ \/ x *\/ 1 - 3*x / 1875*sin (x)*acos\\/ 3*x / 3*\/ 3 *\sin (x) - cos (x)/ \x (-1 + 3*x) / \x -1 + 3*x/
- ----------------------------------------------------------------------------------------------- - 8*acos\\/ 3*x /*cos(x)*sin(x) + ------------------------------------------------------- + -------------------------- + --------------------------- - ------------------------------------------------- + ------------------------------------
8*(7 - 5*x) 2 3 ___ _________ ___ _________ ___ _________
8*(7 - 5*x) 8*(7 - 5*x) \/ x *\/ 1 - 3*x 8*\/ x *\/ 1 - 3*x 2*\/ x *\/ 1 - 3*x
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
_________
\/ 7 - 5*x
$$\frac{- 8 \sin{\left(x \right)} \cos{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)} - \frac{15 \left(8 \left(\sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}\right) \operatorname{acos}{\left(\sqrt{3 x} \right)} - \frac{\sqrt{3} \left(\frac{3}{3 x - 1} + \frac{1}{x}\right) \sin^{2}{\left(x \right)}}{\sqrt{x} \sqrt{1 - 3 x}} + \frac{8 \sqrt{3} \sin{\left(x \right)} \cos{\left(x \right)}}{\sqrt{x} \sqrt{1 - 3 x}}\right)}{8 \left(7 - 5 x\right)} + \frac{225 \left(4 \cos{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)} - \frac{\sqrt{3} \sin{\left(x \right)}}{\sqrt{x} \sqrt{1 - 3 x}}\right) \sin{\left(x \right)}}{8 \left(7 - 5 x\right)^{2}} + \frac{1875 \sin^{2}{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)}}{8 \left(7 - 5 x\right)^{3}} + \frac{3 \sqrt{3} \left(\frac{3}{3 x - 1} + \frac{1}{x}\right) \sin{\left(x \right)} \cos{\left(x \right)}}{2 \sqrt{x} \sqrt{1 - 3 x}} + \frac{3 \sqrt{3} \left(\sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}\right)}{\sqrt{x} \sqrt{1 - 3 x}} - \frac{3 \sqrt{3} \left(\frac{9}{\left(3 x - 1\right)^{2}} + \frac{2}{x \left(3 x - 1\right)} + \frac{1}{x^{2}}\right) \sin^{2}{\left(x \right)}}{8 \sqrt{x} \sqrt{1 - 3 x}}}{\sqrt{7 - 5 x}}$$
Gráfico