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 (3x^4-x)^7
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Derivada de (3x+6)^2
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Derivada de (1+cos(x))/(1-cos(x))
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Derivada de (2*x-9)/(x-5)
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Expresiones idénticas
- x*exparcsin(sqrt(x))*(nueve ^sin(tres *x)+sin^ nueve (tres *x))(-x)
- x multiplicar por exponente de arc seno de ( raíz cuadrada de (x)) multiplicar por (9 en el grado seno de (3 multiplicar por x) más seno de en el grado 9(3 multiplicar por x))( menos x)
- x multiplicar por exponente de arc seno de ( raíz cuadrada de (x)) multiplicar por (nueve en el grado seno de (tres multiplicar por x) más seno de en el grado nueve (tres multiplicar por x))( menos x)
- x*exparcsin(√(x))*(9^sin(3*x)+sin^9(3*x))(-x)
- x*exparcsin(sqrt(x))*(9sin(3*x)+sin9(3*x))(-x)
- x*exparcsinsqrtx*9sin3*x+sin93*x-x
- x*exparcsin(sqrt(x))*(9^sin(3*x)+sin⁹(3*x))(-x)
- xexparcsin(sqrt(x))(9^sin(3x)+sin^9(3x))(-x)
- xexparcsin(sqrt(x))(9sin(3x)+sin9(3x))(-x)
- xexparcsinsqrtx9sin3x+sin93x-x
- xexparcsinsqrtx9^sin3x+sin^93x-x
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Expresiones semejantes
- x*exparcsin(sqrt(x))*(9^sin(3*x)+sin^9(3*x))(x)
- x*exparcsin(sqrt(x))*(9^sin(3*x)-sin^9(3*x))(-x)
Derivada de x*exparcsin(sqrt(x))*(9^sin(3*x)+sin^9(3*x))(-x)
Solución
Ha introducido
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/ ___\ asin\\/ x / / sin(3*x) 9 \ x*e *\9 + sin (3*x)/*(-x)
$$- x x e^{\operatorname{asin}{\left(\sqrt{x} \right)}} \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right)$$
((x*exp(asin(sqrt(x))))*(9^sin(3*x) + sin(3*x)^9))*(-x)
Primera derivada
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/ / / ___\ \ \
| | ___ asin\\/ x / / ___\| / ___\| / ___\
|/ sin(3*x) 9 \ |\/ x *e asin\\/ x /| / 8 sin(3*x) \ asin\\/ x /| / sin(3*x) 9 \ asin\\/ x /
- x*|\9 + sin (3*x)/*|------------------ + e | + x*\27*sin (3*x)*cos(3*x) + 3*9 *cos(3*x)*log(9)/*e | - x*\9 + sin (3*x)/*e
| | _______ | |
\ \ 2*\/ 1 - x / /
$$- x \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right) e^{\operatorname{asin}{\left(\sqrt{x} \right)}} - x \left(x \left(3 \cdot 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} \cos{\left(3 x \right)} + 27 \sin^{8}{\left(3 x \right)} \cos{\left(3 x \right)}\right) e^{\operatorname{asin}{\left(\sqrt{x} \right)}} + \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right) \left(\frac{\sqrt{x} e^{\operatorname{asin}{\left(\sqrt{x} \right)}}}{2 \sqrt{1 - x}} + e^{\operatorname{asin}{\left(\sqrt{x} \right)}}\right)\right)$$
Segunda derivada
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/ / / ___ \ \ \ | |/ sin(3*x) 9 \ / / 1 1 1 \ 4 \ / 9 2 7 sin(3*x) sin(3*x) 2 2 \ | \/ x | / 8 sin(3*x) \ | | | x*|\9 + sin (3*x)/*|x*|---------- + -------------- - ----------------| - ---------------| + 36*x*\9*sin (3*x) - 72*cos (3*x)*sin (3*x) + 9 *log(9)*sin(3*x) - 9 *cos (3*x)*log (9)/ - 12*|2 + ---------|*\9*sin (3*x) + 9 *log(9)/*cos(3*x)| | | / ___ \ | | |x*(-1 + x) 3/2 _______ ___ 3/2| ___ _______| | _______| | | / ___\ | | \/ x | / sin(3*x) 9 \ \ \ \ x *\/ 1 - x \/ x *(1 - x) / \/ x *\/ 1 - x / \ \/ 1 - x / / / 8 sin(3*x) \ | asin\\/ x / |- |2 + ---------|*\9 + sin (3*x)/ + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 6*x*\9*sin (3*x) + 9 *log(9)/*cos(3*x)|*e | | _______| 4 | \ \ \/ 1 - x / /
$$\left(- 6 x \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} + 9 \sin^{8}{\left(3 x \right)}\right) \cos{\left(3 x \right)} + \frac{x \left(36 x \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} \sin{\left(3 x \right)} - 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)}^{2} \cos^{2}{\left(3 x \right)} + 9 \sin^{9}{\left(3 x \right)} - 72 \sin^{7}{\left(3 x \right)} \cos^{2}{\left(3 x \right)}\right) + \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right) \left(x \left(\frac{1}{x \left(x - 1\right)} - \frac{1}{\sqrt{x} \left(1 - x\right)^{\frac{3}{2}}} + \frac{1}{x^{\frac{3}{2}} \sqrt{1 - x}}\right) - \frac{4}{\sqrt{x} \sqrt{1 - x}}\right) - 12 \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} + 9 \sin^{8}{\left(3 x \right)}\right) \left(\frac{\sqrt{x}}{\sqrt{1 - x}} + 2\right) \cos{\left(3 x \right)}\right)}{4} - \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right) \left(\frac{\sqrt{x}}{\sqrt{1 - x}} + 2\right)\right) e^{\operatorname{asin}{\left(\sqrt{x} \right)}}$$
Tercera derivada
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/ / / ___ \ \ \ | | / sin(3*x) 9 \ / / 1 3 3 3 3 \ 6 6 6 \ | \/ x | / 9 2 7 sin(3*x) sin(3*x) 2 2 \ / 8 sin(3*x) \ / / 1 1 1 \ 4 \ / 8 sin(3*x) 2 6 sin(3*x) 2 3 sin(3*x) 2 \ | / sin(3*x) 9 \ / / 1 1 1 \ 4 \ | | x*|- \9 + sin (3*x)/*|x*|- --------------- + ----------- + ----------- + -------------- + ----------------| - ---------- - -------------- + ----------------| + 108*|2 + ---------|*\9*sin (3*x) - 72*cos (3*x)*sin (3*x) + 9 *log(9)*sin(3*x) - 9 *cos (3*x)*log (9)/ + 18*\9*sin (3*x) + 9 *log(9)/*|x*|---------- + -------------- - ----------------| - ---------------|*cos(3*x) + 216*x*\225*sin (3*x) + 9 *log(9) - 504*cos (3*x)*sin (3*x) - 9 *cos (3*x)*log (9) + 3*9 *log (9)*sin(3*x)/*cos(3*x)| 3*\9 + sin (3*x)/*|x*|---------- + -------------- - ----------------| - ---------------| | | | | | 3/2 3/2 2 2 5/2 _______ ___ 5/2| x*(-1 + x) 3/2 _______ ___ 3/2| | _______| | |x*(-1 + x) 3/2 _______ ___ 3/2| ___ _______| | | |x*(-1 + x) 3/2 _______ ___ 3/2| ___ _______| / ___ \ | / ___\ | / 9 2 7 sin(3*x) sin(3*x) 2 2 \ \ \ \ x *(1 - x) x*(-1 + x) x *(-1 + x) x *\/ 1 - x \/ x *(1 - x) / x *\/ 1 - x \/ x *(1 - x) / \ \/ 1 - x / \ \ x *\/ 1 - x \/ x *(1 - x) / \/ x *\/ 1 - x / / \ \ x *\/ 1 - x \/ x *(1 - x) / \/ x *\/ 1 - x / | \/ x | / 8 sin(3*x) \ | asin\\/ x / |27*x*\9*sin (3*x) - 72*cos (3*x)*sin (3*x) + 9 *log(9)*sin(3*x) - 9 *cos (3*x)*log (9)/ + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------ - 9*|2 + ---------|*\9*sin (3*x) + 9 *log(9)/*cos(3*x)|*e | 8 4 | _______| | \ \ \/ 1 - x / /
$$\left(27 x \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} \sin{\left(3 x \right)} - 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)}^{2} \cos^{2}{\left(3 x \right)} + 9 \sin^{9}{\left(3 x \right)} - 72 \sin^{7}{\left(3 x \right)} \cos^{2}{\left(3 x \right)}\right) + \frac{x \left(216 x \left(3 \cdot 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)}^{2} \sin{\left(3 x \right)} - 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)}^{3} \cos^{2}{\left(3 x \right)} + 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} + 225 \sin^{8}{\left(3 x \right)} - 504 \sin^{6}{\left(3 x \right)} \cos^{2}{\left(3 x \right)}\right) \cos{\left(3 x \right)} - \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right) \left(x \left(\frac{3}{x \left(x - 1\right)^{2}} + \frac{3}{x^{2} \left(x - 1\right)} + \frac{3}{\sqrt{x} \left(1 - x\right)^{\frac{5}{2}}} - \frac{1}{x^{\frac{3}{2}} \left(1 - x\right)^{\frac{3}{2}}} + \frac{3}{x^{\frac{5}{2}} \sqrt{1 - x}}\right) - \frac{6}{x \left(x - 1\right)} + \frac{6}{\sqrt{x} \left(1 - x\right)^{\frac{3}{2}}} - \frac{6}{x^{\frac{3}{2}} \sqrt{1 - x}}\right) + 18 \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} + 9 \sin^{8}{\left(3 x \right)}\right) \left(x \left(\frac{1}{x \left(x - 1\right)} - \frac{1}{\sqrt{x} \left(1 - x\right)^{\frac{3}{2}}} + \frac{1}{x^{\frac{3}{2}} \sqrt{1 - x}}\right) - \frac{4}{\sqrt{x} \sqrt{1 - x}}\right) \cos{\left(3 x \right)} + 108 \left(\frac{\sqrt{x}}{\sqrt{1 - x}} + 2\right) \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} \sin{\left(3 x \right)} - 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)}^{2} \cos^{2}{\left(3 x \right)} + 9 \sin^{9}{\left(3 x \right)} - 72 \sin^{7}{\left(3 x \right)} \cos^{2}{\left(3 x \right)}\right)\right)}{8} + \frac{3 \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right) \left(x \left(\frac{1}{x \left(x - 1\right)} - \frac{1}{\sqrt{x} \left(1 - x\right)^{\frac{3}{2}}} + \frac{1}{x^{\frac{3}{2}} \sqrt{1 - x}}\right) - \frac{4}{\sqrt{x} \sqrt{1 - x}}\right)}{4} - 9 \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} + 9 \sin^{8}{\left(3 x \right)}\right) \left(\frac{\sqrt{x}}{\sqrt{1 - x}} + 2\right) \cos{\left(3 x \right)}\right) e^{\operatorname{asin}{\left(\sqrt{x} \right)}}$$
Gráfico