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 v
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Derivada de (x+12)e^(12-x)
- Derivada de u/v
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Derivada de x^(1/10)
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Expresiones idénticas
- y= seis exp(tg(x^ siete)*arcsin(x^ tres))+4ln(3ctg(x^6)+4sinh(x^ nueve))
- y es igual a 6 exponente de (tg(x en el grado 7) multiplicar por arc seno de (x al cubo )) más 4ln(3ctg(x en el grado 6) más 4 seno hiperbólico de (x en el grado 9))
- y es igual a seis exponente de (tg(x en el grado siete) multiplicar por arc seno de (x en el grado tres)) más 4ln(3ctg(x en el grado 6) más 4 seno hiperbólico de (x en el grado nueve))
- y=6exp(tg(x7)*arcsin(x3))+4ln(3ctg(x6)+4sinh(x9))
- y=6exptgx7*arcsinx3+4ln3ctgx6+4sinhx9
- y=6exp(tg(x⁷)*arcsin(x³))+4ln(3ctg(x⁶)+4sinh(x⁹))
- y=6exp(tg(x en el grado 7)*arcsin(x en el grado 3))+4ln(3ctg(x en el grado 6)+4sinh(x en el grado 9))
- y=6exp(tg(x^7)arcsin(x^3))+4ln(3ctg(x^6)+4sinh(x^9))
- y=6exp(tg(x7)arcsin(x3))+4ln(3ctg(x6)+4sinh(x9))
- y=6exptgx7arcsinx3+4ln3ctgx6+4sinhx9
- y=6exptgx^7arcsinx^3+4ln3ctgx^6+4sinhx^9
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Expresiones semejantes
- y=6exp(tg(x^7)*arcsin(x^3))+4ln(3ctg(x^6)-4sinh(x^9))
- y=6exp(tg(x^7)*arcsin(x^3))-4ln(3ctg(x^6)+4sinh(x^9))
Derivada de y=6exp(tg(x^7)*arcsin(x^3))+4ln(3ctg(x^6)+4sinh(x^9))
Solución
Ha introducido
[src]
/ 7\ / 3\ tan\x /*asin\x / / / 6\ / 9\\ 6*e + 4*log\3*cot\x / + 4*sinh\x //
$$6 e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}} + 4 \log{\left(3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)} \right)}$$
6*exp(tan(x^7)*asin(x^3)) + 4*log(3*cot(x^6) + 4*sinh(x^9))
Primera derivada
[src]
/ 5 / 2/ 6\\ 8 / 9\\ / 2 / 7\ \ / 7\ / 3\
4*\18*x *\-1 - cot \x // + 36*x *cosh\x // |3*x *tan\x / 6 / 2/ 7\\ / 3\| tan\x /*asin\x /
------------------------------------------ + 6*|------------ + 7*x *\1 + tan \x //*asin\x /|*e
/ 6\ / 9\ | ________ |
3*cot\x / + 4*sinh\x / | / 6 |
\\/ 1 - x /
$$\frac{4 \left(36 x^{8} \cosh{\left(x^{9} \right)} + 18 x^{5} \left(- \cot^{2}{\left(x^{6} \right)} - 1\right)\right)}{3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)}} + 6 \left(7 x^{6} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{3 x^{2} \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right) e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 7\ 6 / 7\ 7 / 2/ 7\\ \ / 3\ / 7\ / / 7\ \ / 3\ / 7\ 9 / 2/ 6\ 3 / 9\\ 3 / 2/ 6\ 3 / 9\ 12 / 9\ 6 / 2/ 6\\ / 6\\|
|| 6*tan\x / 9*x *tan\x / 4 / 2/ 7\\ / 3\ 42*x *\1 + tan \x // 11 / 2/ 7\\ / 3\ / 7\| asin\x /*tan\x / 3 | 3*tan\x / 4 / 2/ 7\\ / 3\| asin\x /*tan\x / 216*x *\-1 - cot \x / + 2*x *cosh\x // 12*x *\-5 - 5*cot \x / + 16*x *cosh\x / + 18*x *sinh\x / + 12*x *\1 + cot \x //*cot\x //|
6*x*||----------- + ------------ + 42*x *\1 + tan \x //*asin\x / + -------------------- + 98*x *\1 + tan \x //*asin\x /*tan\x /|*e + x *|----------- + 7*x *\1 + tan \x //*asin\x /| *e - --------------------------------------- + -----------------------------------------------------------------------------------------|
|| ________ 3/2 ________ | | ________ | 2 / 6\ / 9\ |
|| / 6 / 6\ / 6 | | / 6 | / / 6\ / 9\\ 3*cot\x / + 4*sinh\x / |
\\\/ 1 - x \1 - x / \/ 1 - x / \\/ 1 - x / \3*cot\x / + 4*sinh\x // /
$$6 x \left(- \frac{216 x^{9} \left(2 x^{3} \cosh{\left(x^{9} \right)} - \cot^{2}{\left(x^{6} \right)} - 1\right)^{2}}{\left(3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)}\right)^{2}} + x^{3} \left(7 x^{4} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{3 \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right)^{2} e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}} + \frac{12 x^{3} \left(18 x^{12} \sinh{\left(x^{9} \right)} + 12 x^{6} \left(\cot^{2}{\left(x^{6} \right)} + 1\right) \cot{\left(x^{6} \right)} + 16 x^{3} \cosh{\left(x^{9} \right)} - 5 \cot^{2}{\left(x^{6} \right)} - 5\right)}{3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)}} + \left(98 x^{11} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)} + \frac{42 x^{7} \left(\tan^{2}{\left(x^{7} \right)} + 1\right)}{\sqrt{1 - x^{6}}} + \frac{9 x^{6} \tan{\left(x^{7} \right)}}{\left(1 - x^{6}\right)^{\frac{3}{2}}} + 42 x^{4} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{6 \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right) e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}}\right)$$
Tercera derivada
[src]
/ 3 / 2 \ 3 \ |/ / 7\ 6 / 7\ 12 / 7\ 13 / 2/ 7\\ 7 / 2/ 7\\ 2 14 / 2/ 7\\ / 7\ \ / 3\ / 7\ / / 7\ \ / 3\ / 7\ 3 | 2/ 6\ 12 / 2/ 6\\ 3 / 9\ 21 / 9\ 12 / 9\ 12 2/ 6\ / 2/ 6\\ 6 / 2/ 6\\ / 6\| 15 / 2/ 6\ 3 / 9\\ 9 / 2/ 6\ 3 / 9\\ / 2/ 6\ 3 / 9\ 12 / 9\ 6 / 2/ 6\\ / 6\\ / / 7\ \ / / 7\ 6 / 7\ 7 / 2/ 7\\ \ / 3\ / 7\| || 6*tan\x / 81*x *tan\x / 81*x *tan\x / 189*x *\1 + tan \x // 4 / 2/ 7\\ / 3\ 504*x *\1 + tan \x // 18 / 2/ 7\\ / 3\ 882*x *\1 + tan \x //*tan\x / 18 2/ 7\ / 2/ 7\\ / 3\ 11 / 2/ 7\\ / 3\ / 7\| asin\x /*tan\x / 6 | 3*tan\x / 4 / 2/ 7\\ / 3\| asin\x /*tan\x / 24*x *\-10 - 10*cot \x / - 36*x *\1 + cot \x // + 56*x *cosh\x / + 81*x *cosh\x / + 216*x *sinh\x / - 72*x *cot \x /*\1 + cot \x // + 90*x *\1 + cot \x //*cot\x // 7776*x *\-1 - cot \x / + 2*x *cosh\x // 648*x *\-1 - cot \x / + 2*x *cosh\x //*\-5 - 5*cot \x / + 16*x *cosh\x / + 18*x *sinh\x / + 12*x *\1 + cot \x //*cot\x // 3 | 3*tan\x / 4 / 2/ 7\\ / 3\| | 6*tan\x / 9*x *tan\x / 4 / 2/ 7\\ / 3\ 42*x *\1 + tan \x // 11 / 2/ 7\\ / 3\ / 7\| asin\x /*tan\x /| 6*||----------- + ------------- + -------------- + ---------------------- + 210*x *\1 + tan \x //*asin\x / + --------------------- + 686*x *\1 + tan \x // *asin\x / + ------------------------------ + 1372*x *tan \x /*\1 + tan \x //*asin\x / + 1764*x *\1 + tan \x //*asin\x /*tan\x /|*e + x *|----------- + 7*x *\1 + tan \x //*asin\x /| *e + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ----------------------------------------- - -------------------------------------------------------------------------------------------------------------------------- + 3*x *|----------- + 7*x *\1 + tan \x //*asin\x /|*|----------- + ------------ + 42*x *\1 + tan \x //*asin\x / + -------------------- + 98*x *\1 + tan \x //*asin\x /*tan\x /|*e | || ________ 3/2 5/2 3/2 ________ ________ | | ________ | / 6\ / 9\ 3 2 | ________ | | ________ 3/2 ________ | | || / 6 / 6\ / 6\ / 6\ / 6 / 6 | | / 6 | 3*cot\x / + 4*sinh\x / / / 6\ / 9\\ / / 6\ / 9\\ | / 6 | | / 6 / 6\ / 6 | | \\\/ 1 - x \1 - x / \1 - x / \1 - x / \/ 1 - x \/ 1 - x / \\/ 1 - x / \3*cot\x / + 4*sinh\x // \3*cot\x / + 4*sinh\x // \\/ 1 - x / \\/ 1 - x \1 - x / \/ 1 - x / /
$$6 \left(\frac{7776 x^{15} \left(2 x^{3} \cosh{\left(x^{9} \right)} - \cot^{2}{\left(x^{6} \right)} - 1\right)^{3}}{\left(3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)}\right)^{3}} - \frac{648 x^{9} \left(2 x^{3} \cosh{\left(x^{9} \right)} - \cot^{2}{\left(x^{6} \right)} - 1\right) \left(18 x^{12} \sinh{\left(x^{9} \right)} + 12 x^{6} \left(\cot^{2}{\left(x^{6} \right)} + 1\right) \cot{\left(x^{6} \right)} + 16 x^{3} \cosh{\left(x^{9} \right)} - 5 \cot^{2}{\left(x^{6} \right)} - 5\right)}{\left(3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)}\right)^{2}} + x^{6} \left(7 x^{4} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{3 \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right)^{3} e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}} + 3 x^{3} \left(7 x^{4} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{3 \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right) \left(98 x^{11} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)} + \frac{42 x^{7} \left(\tan^{2}{\left(x^{7} \right)} + 1\right)}{\sqrt{1 - x^{6}}} + \frac{9 x^{6} \tan{\left(x^{7} \right)}}{\left(1 - x^{6}\right)^{\frac{3}{2}}} + 42 x^{4} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{6 \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right) e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}} + \frac{24 x^{3} \left(81 x^{21} \cosh{\left(x^{9} \right)} - 36 x^{12} \left(\cot^{2}{\left(x^{6} \right)} + 1\right)^{2} - 72 x^{12} \left(\cot^{2}{\left(x^{6} \right)} + 1\right) \cot^{2}{\left(x^{6} \right)} + 216 x^{12} \sinh{\left(x^{9} \right)} + 90 x^{6} \left(\cot^{2}{\left(x^{6} \right)} + 1\right) \cot{\left(x^{6} \right)} + 56 x^{3} \cosh{\left(x^{9} \right)} - 10 \cot^{2}{\left(x^{6} \right)} - 10\right)}{3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)}} + \left(686 x^{18} \left(\tan^{2}{\left(x^{7} \right)} + 1\right)^{2} \operatorname{asin}{\left(x^{3} \right)} + 1372 x^{18} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \tan^{2}{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)} + \frac{882 x^{14} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}} + \frac{189 x^{13} \left(\tan^{2}{\left(x^{7} \right)} + 1\right)}{\left(1 - x^{6}\right)^{\frac{3}{2}}} + \frac{81 x^{12} \tan{\left(x^{7} \right)}}{\left(1 - x^{6}\right)^{\frac{5}{2}}} + 1764 x^{11} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)} + \frac{504 x^{7} \left(\tan^{2}{\left(x^{7} \right)} + 1\right)}{\sqrt{1 - x^{6}}} + \frac{81 x^{6} \tan{\left(x^{7} \right)}}{\left(1 - x^{6}\right)^{\frac{3}{2}}} + 210 x^{4} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{6 \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right) e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}}\right)$$