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- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
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- Ecuaciones diferenciales paso a paso
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- Derivada de:
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Derivada de -2*y
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Derivada de 3^2*x
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Derivada de 2*x+8/x
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Derivada de -1/y
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Expresiones idénticas
- y= dos ^(tg((x^ dos + cuatro)/x^ cero . cinco))^ siete
- y es igual a 2 en el grado (tg((x al cuadrado más 4) dividir por x en el grado 0.5)) en el grado 7
- y es igual a dos en el grado (tg((x en el grado dos más cuatro) dividir por x en el grado cero . cinco)) en el grado siete
- y=2(tg((x2+4)/x0.5))7
- y=2tgx2+4/x0.57
- y=2^(tg((x²+4)/x^0.5))⁷
- y=2 en el grado (tg((x en el grado 2+4)/x en el grado 0.5)) en el grado 7
- y=2^tgx^2+4/x^0.5^7
- y=2^(tg((x^2+4) dividir por x^0.5))^7
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Expresiones semejantes
- y=2^(tg((x^2-4)/x^0.5))^7
Derivada de y=2^(tg((x^2+4)/x^0.5))^7
Solución
Ha introducido
[src]
/ 2 \
7|x + 4|
tan |------|
| ___ |
\\/ x /
2
$$2^{\tan^{7}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}$$
2^(tan((x^2 + 4)/sqrt(x))^7)
Primera derivada
[src]
/ 2 \
7|x + 4|
tan |------|
| ___ | / 2 \ / / 2 \\ / 2 \
\\/ x / 6|x + 4| | 2|x + 4|| | 2*x x + 4|
7*2 *tan |------|*|1 + tan |------||*|----- - ------|*log(2)
| ___ | | | ___ || | ___ 3/2|
\\/ x / \ \\/ x // \\/ x 2*x /
$$7 \cdot 2^{\tan^{7}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}} \left(\frac{2 x}{\sqrt{x}} - \frac{x^{2} + 4}{2 x^{\frac{3}{2}}}\right) \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \log{\left(2 \right)} \tan^{6}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}$$
Segunda derivada
[src]
/ 2\ / / 2\ \
7|4 + x | | / 2\ |4 + x | |
tan |------| | 2 2 3*\4 + x /*tan|------| 2 |
| ___ | / 2\ / / 2\\ | / 2\ / 2\ / 2\ / / 2\\ | ___ | / 2\ / 2\ / / 2\\ |
\\/ x / 5|4 + x | | 2|4 + x || | | ___ 4 + x | 2|4 + x | | ___ 4 + x | | 2|4 + x || \\/ x / | ___ 4 + x | 7|4 + x | | 2|4 + x || |
7*2 *tan |------|*|1 + tan |------||*|2*|4*\/ x - ------| *tan |------| + 6*|4*\/ x - ------| *|1 + tan |------|| + ---------------------- + 7*|4*\/ x - ------| *tan |------|*|1 + tan |------||*log(2)|*log(2)
| ___ | | | ___ || | | 3/2 | | ___ | | 3/2 | | | ___ || 5/2 | 3/2 | | ___ | | | ___ || |
\\/ x / \ \\/ x // \ \ x / \\/ x / \ x / \ \\/ x // x \ x / \\/ x / \ \\/ x // /
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4
$$\frac{7 \cdot 2^{\tan^{7}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \left(7 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{2} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \log{\left(2 \right)} \tan^{7}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 6 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{2} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) + 2 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{2} \tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + \frac{3 \left(x^{2} + 4\right) \tan{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{x^{\frac{5}{2}}}\right) \log{\left(2 \right)} \tan^{5}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{4}$$
Tercera derivada
[src]
/ 2\ / / 2\ / 2\ / 2\ / 2\ / / 2\\ / 2\ / 2\ / 2\ / / 2\\ / 2\ \
7|4 + x | | 2|4 + x | 2|4 + x | / 2\ 3|4 + x | / 2\ | ___ 4 + x | | 2|4 + x || / 2\ | ___ 4 + x | |4 + x | 8|4 + x | | 2|4 + x || / 2\ | ___ 4 + x | |
tan |------| | 3 12*tan |------| 2 3 15*tan |------|*\4 + x / 3 18*tan |------|*\4 + x /*|4*\/ x - ------| 3 2 3 2 3 54*|1 + tan |------||*\4 + x /*|4*\/ x - ------|*tan|------| 63*tan |------|*|1 + tan |------||*\4 + x /*|4*\/ x - ------|*log(2)|
| ___ | / 2\ / / 2\\ | / 2\ / 2\ | ___ | / / 2\\ / 2\ | ___ | / 2\ / 2\ / / 2\\ | ___ | | 3/2 | / 2\ / 2\ / / 2\\ / / 2\\ / 2\ / 2\ / / 2\\ / 2\ / 2\ | | ___ || | 3/2 | | ___ | | ___ | | | ___ || | 3/2 | |
\\/ x / 4|4 + x | | 2|4 + x || | | ___ 4 + x | 4|4 + x | \\/ x / | 2|4 + x || | ___ 4 + x | \\/ x / | ___ 4 + x | 2|4 + x | | 2|4 + x || \\/ x / \ x / | ___ 4 + x | 9|4 + x | | 2|4 + x || | 2|4 + x || | ___ 4 + x | 2 14|4 + x | | 2|4 + x || | ___ 4 + x | 7|4 + x | \ \\/ x // \ x / \\/ x / \\/ x / \ \\/ x // \ x / |
7*2 *tan |------|*|1 + tan |------||*|4*|4*\/ x - ------| *tan |------| + --------------- + 30*|1 + tan |------|| *|4*\/ x - ------| - ------------------------ + 38*|4*\/ x - ------| *tan |------|*|1 + tan |------|| + ------------------------------------------- + 42*|4*\/ x - ------| *tan |------|*|1 + tan |------||*log(2) + 49*|1 + tan |------|| *|4*\/ x - ------| *log (2)*tan |------| + 126*|1 + tan |------|| *|4*\/ x - ------| *tan |------|*log(2) + ------------------------------------------------------------- + ---------------------------------------------------------------------|*log(2)
| ___ | | | ___ || | | 3/2 | | ___ | 3/2 | | ___ || | 3/2 | 7/2 | 3/2 | | ___ | | | ___ || 5/2 | 3/2 | | ___ | | | ___ || | | ___ || | 3/2 | | ___ | | | ___ || | 3/2 | | ___ | 5/2 5/2 |
\\/ x / \ \\/ x // \ \ x / \\/ x / x \ \\/ x // \ x / x \ x / \\/ x / \ \\/ x // x \ x / \\/ x / \ \\/ x // \ \\/ x // \ x / \\/ x / \ \\/ x // \ x / \\/ x / x x /
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8
$$\frac{7 \cdot 2^{\tan^{7}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \left(49 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{3} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right)^{2} \log{\left(2 \right)}^{2} \tan^{14}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 126 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{3} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right)^{2} \log{\left(2 \right)} \tan^{7}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 30 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{3} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right)^{2} + 42 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{3} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \log{\left(2 \right)} \tan^{9}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 38 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{3} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 4 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{3} \tan^{4}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + \frac{12 \tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{x^{\frac{3}{2}}} + \frac{63 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right) \left(x^{2} + 4\right) \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \log{\left(2 \right)} \tan^{8}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{x^{\frac{5}{2}}} + \frac{54 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right) \left(x^{2} + 4\right) \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \tan{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{x^{\frac{5}{2}}} + \frac{18 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right) \left(x^{2} + 4\right) \tan^{3}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{x^{\frac{5}{2}}} - \frac{15 \left(x^{2} + 4\right) \tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{x^{\frac{7}{2}}}\right) \log{\left(2 \right)} \tan^{4}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{8}$$