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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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- Derivada de:
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Derivada de x^4/3-x
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Derivada de x^-4/5
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Derivada de x=1
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Derivada de x^2*2^x
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Expresiones idénticas
- x*exp(tg(dos x)^ tres *arcsin(cuatro x)+((3x-2)^4)/sin(x)^ cinco -x)
- x multiplicar por exponente de (tg(2x) al cubo multiplicar por arc seno de (4x) más ((3x menos 2) en el grado 4) dividir por seno de (x) en el grado 5 menos x)
- x multiplicar por exponente de (tg(dos x) en el grado tres multiplicar por arc seno de (cuatro x) más ((3x menos 2) en el grado 4) dividir por seno de (x) en el grado cinco menos x)
- x*exp(tg(2x)3*arcsin(4x)+((3x-2)4)/sin(x)5-x)
- x*exptg2x3*arcsin4x+3x-24/sinx5-x
- x*exp(tg(2x)³*arcsin(4x)+((3x-2)⁴)/sin(x)⁵-x)
- x*exp(tg(2x) en el grado 3*arcsin(4x)+((3x-2) en el grado 4)/sin(x) en el grado 5-x)
- xexp(tg(2x)^3arcsin(4x)+((3x-2)^4)/sin(x)^5-x)
- xexp(tg(2x)3arcsin(4x)+((3x-2)4)/sin(x)5-x)
- xexptg2x3arcsin4x+3x-24/sinx5-x
- xexptg2x^3arcsin4x+3x-2^4/sinx^5-x
- x*exp(tg(2x)^3*arcsin(4x)+((3x-2)^4) dividir por sin(x)^5-x)
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Expresiones semejantes
- x*exp(tg(2x)^3*arcsin(4x)+((3x-2)^4)/sin(x)^5+x)
- x*exp(tg(2x)^3*arcsin(4x)+((3x+2)^4)/sin(x)^5-x)
- x*exp(tg(2x)^3*arcsin(4x)-((3x-2)^4)/sin(x)^5-x)
- x*exp(tg(2x)^3*arcsin(4x)+((3x-2)^4)/sinx^5-x)
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Expresiones con funciones
- Seno sin
- sin(x+π)
- sin(7*x)^(2)
- sin(3*y)
- sin(2*x-pi/3)
- sin^-1(cosx)
Derivada de x*exp(tg(2x)^3*arcsin(4x)+((3x-2)^4)/sin(x)^5-x)
Solución
Ha introducido
[src]
4
3 (3*x - 2)
tan (2*x)*asin(4*x) + ---------- - x
5
sin (x)
x*e
$$x e^{- x + \left(\frac{\left(3 x - 2\right)^{4}}{\sin^{5}{\left(x \right)}} + \tan^{3}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)}\right)}$$
x*exp(tan(2*x)^3*asin(4*x) + (3*x - 2)^4/sin(x)^5 - x)
Primera derivada
[src]
4 4
3 (3*x - 2) 3 (3*x - 2)
tan (2*x)*asin(4*x) + ---------- - x tan (2*x)*asin(4*x) + ---------- - x
/ 3 3 4 \ 5 5
| 4*tan (2*x) 12*(3*x - 2) 2 / 2 \ 5*(3*x - 2) *cos(x)| sin (x) sin (x)
x*|-1 + -------------- + ------------- + tan (2*x)*\6 + 6*tan (2*x)/*asin(4*x) - -------------------|*e + e
| ___________ 5 6 |
| / 2 sin (x) sin (x) |
\ \/ 1 - 16*x /
$$x \left(- \frac{5 \left(3 x - 2\right)^{4} \cos{\left(x \right)}}{\sin^{6}{\left(x \right)}} + \frac{12 \left(3 x - 2\right)^{3}}{\sin^{5}{\left(x \right)}} + \left(6 \tan^{2}{\left(2 x \right)} + 6\right) \tan^{2}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} - 1 + \frac{4 \tan^{3}{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) e^{- x + \left(\frac{\left(3 x - 2\right)^{4}}{\sin^{5}{\left(x \right)}} + \tan^{3}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)}\right)} + e^{- x + \left(\frac{\left(3 x - 2\right)^{4}}{\sin^{5}{\left(x \right)}} + \tan^{3}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)}\right)}$$
Segunda derivada
[src]
4
(-2 + 3*x) 3
/ / 2 \ \ -x + ----------- + tan (2*x)*asin(4*x)
| |/ 3 3 4 \ 4 2 3 2 4 2 2 / 2 \ 3 | 3 3 4 | 5
| || 4*tan (2*x) 12*(-2 + 3*x) 5*(-2 + 3*x) *cos(x) 2 / 2 \ | 5*(-2 + 3*x) 108*(-2 + 3*x) 120*(-2 + 3*x) *cos(x) / 2 \ 3 / 2 \ 30*(-2 + 3*x) *cos (x) 48*tan (2*x)*\1 + tan (2*x)/ 64*x*tan (2*x)| 8*tan (2*x) 24*(-2 + 3*x) 10*(-2 + 3*x) *cos(x) 2 / 2 \ | sin (x)
|-2 + x*||-1 + -------------- + -------------- - -------------------- + 6*tan (2*x)*\1 + tan (2*x)/*asin(4*x)| + ------------- + --------------- - ---------------------- + 24*\1 + tan (2*x)/ *asin(4*x)*tan(2*x) + 24*tan (2*x)*\1 + tan (2*x)/*asin(4*x) + ---------------------- + ---------------------------- + --------------| + -------------- + -------------- - --------------------- + 12*tan (2*x)*\1 + tan (2*x)/*asin(4*x)|*e
| || ___________ 5 6 | 5 5 6 7 ___________ 3/2| ___________ 5 6 |
| || / 2 sin (x) sin (x) | sin (x) sin (x) sin (x) sin (x) / 2 / 2\ | / 2 sin (x) sin (x) |
\ \\ \/ 1 - 16*x / \/ 1 - 16*x \1 - 16*x / / \/ 1 - 16*x /
$$\left(x \left(\frac{64 x \tan^{3}{\left(2 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} + \frac{5 \left(3 x - 2\right)^{4}}{\sin^{5}{\left(x \right)}} + \frac{30 \left(3 x - 2\right)^{4} \cos^{2}{\left(x \right)}}{\sin^{7}{\left(x \right)}} - \frac{120 \left(3 x - 2\right)^{3} \cos{\left(x \right)}}{\sin^{6}{\left(x \right)}} + \frac{108 \left(3 x - 2\right)^{2}}{\sin^{5}{\left(x \right)}} + 24 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \tan{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} + 24 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{3}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} + \left(- \frac{5 \left(3 x - 2\right)^{4} \cos{\left(x \right)}}{\sin^{6}{\left(x \right)}} + \frac{12 \left(3 x - 2\right)^{3}}{\sin^{5}{\left(x \right)}} + 6 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} - 1 + \frac{4 \tan^{3}{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}}}\right)^{2} + \frac{48 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) - \frac{10 \left(3 x - 2\right)^{4} \cos{\left(x \right)}}{\sin^{6}{\left(x \right)}} + \frac{24 \left(3 x - 2\right)^{3}}{\sin^{5}{\left(x \right)}} + 12 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} - 2 + \frac{8 \tan^{3}{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) e^{- x + \frac{\left(3 x - 2\right)^{4}}{\sin^{5}{\left(x \right)}} + \tan^{3}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)}}$$
Tercera derivada
[src]
4
(-2 + 3*x) 3
/ 2 / 3 2 \ \ -x + ----------- + tan (2*x)*asin(4*x)
| / 3 3 4 \ |/ 3 3 4 \ / 3 3 4 \ / 4 2 3 2 4 2 2 / 2 \ 3 \ 3 3 3 2 4 3 4 / 2 \ 3 / 2 \ 2 3 2 2 3 2 / 2 \| 4 2 3 2 4 2 2 / 2 \ 3 | 5
| | 4*tan (2*x) 12*(-2 + 3*x) 5*(-2 + 3*x) *cos(x) 2 / 2 \ | || 4*tan (2*x) 12*(-2 + 3*x) 5*(-2 + 3*x) *cos(x) 2 / 2 \ | | 4*tan (2*x) 12*(-2 + 3*x) 5*(-2 + 3*x) *cos(x) 2 / 2 \ | |5*(-2 + 3*x) 108*(-2 + 3*x) 120*(-2 + 3*x) *cos(x) / 2 \ 3 / 2 \ 30*(-2 + 3*x) *cos (x) 48*tan (2*x)*\1 + tan (2*x)/ 64*x*tan (2*x)| / 2 \ 64*tan (2*x) 180*(-2 + 3*x) 648*(-2 + 3*x) 1620*(-2 + 3*x) *cos(x) 210*(-2 + 3*x) *cos (x) 85*(-2 + 3*x) *cos(x) 4 / 2 \ 288*\1 + tan (2*x)/ *tan(2*x) 288*tan (2*x)*\1 + tan (2*x)/ / 2 \ 2 1080*(-2 + 3*x) *cos (x) 3072*x *tan (2*x) 1152*x*tan (2*x)*\1 + tan (2*x)/| 15*(-2 + 3*x) 324*(-2 + 3*x) 360*(-2 + 3*x) *cos(x) / 2 \ 3 / 2 \ 90*(-2 + 3*x) *cos (x) 144*tan (2*x)*\1 + tan (2*x)/ 192*x*tan (2*x)| sin (x)
|3*|-1 + -------------- + -------------- - -------------------- + 6*tan (2*x)*\1 + tan (2*x)/*asin(4*x)| + x*||-1 + -------------- + -------------- - -------------------- + 6*tan (2*x)*\1 + tan (2*x)/*asin(4*x)| + 3*|-1 + -------------- + -------------- - -------------------- + 6*tan (2*x)*\1 + tan (2*x)/*asin(4*x)|*|------------- + --------------- - ---------------------- + 24*\1 + tan (2*x)/ *asin(4*x)*tan(2*x) + 24*tan (2*x)*\1 + tan (2*x)/*asin(4*x) + ---------------------- + ---------------------------- + --------------| + 48*\1 + tan (2*x)/ *asin(4*x) + -------------- + --------------- + -------------- - ----------------------- - ----------------------- - --------------------- + 96*tan (2*x)*\1 + tan (2*x)/*asin(4*x) + ----------------------------- + ----------------------------- + 336*\1 + tan (2*x)/ *tan (2*x)*asin(4*x) + ------------------------ + ----------------- + --------------------------------| + -------------- + --------------- - ---------------------- + 72*\1 + tan (2*x)/ *asin(4*x)*tan(2*x) + 72*tan (2*x)*\1 + tan (2*x)/*asin(4*x) + ---------------------- + ----------------------------- + ---------------|*e
| | ___________ 5 6 | || ___________ 5 6 | | ___________ 5 6 | | 5 5 6 7 ___________ 3/2| 3/2 5 5 6 8 6 ___________ ___________ 7 5/2 3/2 | 5 5 6 7 ___________ 3/2|
| | / 2 sin (x) sin (x) | || / 2 sin (x) sin (x) | | / 2 sin (x) sin (x) | | sin (x) sin (x) sin (x) sin (x) / 2 / 2\ | / 2\ sin (x) sin (x) sin (x) sin (x) sin (x) / 2 / 2 sin (x) / 2\ / 2\ | sin (x) sin (x) sin (x) sin (x) / 2 / 2\ |
\ \ \/ 1 - 16*x / \\ \/ 1 - 16*x / \ \/ 1 - 16*x / \ \/ 1 - 16*x \1 - 16*x / / \1 - 16*x / \/ 1 - 16*x \/ 1 - 16*x \1 - 16*x / \1 - 16*x / / \/ 1 - 16*x \1 - 16*x / /
$$\left(x \left(\frac{3072 x^{2} \tan^{3}{\left(2 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{5}{2}}} + \frac{1152 x \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - \frac{85 \left(3 x - 2\right)^{4} \cos{\left(x \right)}}{\sin^{6}{\left(x \right)}} - \frac{210 \left(3 x - 2\right)^{4} \cos^{3}{\left(x \right)}}{\sin^{8}{\left(x \right)}} + \frac{180 \left(3 x - 2\right)^{3}}{\sin^{5}{\left(x \right)}} + \frac{1080 \left(3 x - 2\right)^{3} \cos^{2}{\left(x \right)}}{\sin^{7}{\left(x \right)}} - \frac{1620 \left(3 x - 2\right)^{2} \cos{\left(x \right)}}{\sin^{6}{\left(x \right)}} + \frac{648 \left(3 x - 2\right)}{\sin^{5}{\left(x \right)}} + 48 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{3} \operatorname{asin}{\left(4 x \right)} + 336 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \tan^{2}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} + 96 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{4}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} + \left(- \frac{5 \left(3 x - 2\right)^{4} \cos{\left(x \right)}}{\sin^{6}{\left(x \right)}} + \frac{12 \left(3 x - 2\right)^{3}}{\sin^{5}{\left(x \right)}} + 6 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} - 1 + \frac{4 \tan^{3}{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}}}\right)^{3} + 3 \left(- \frac{5 \left(3 x - 2\right)^{4} \cos{\left(x \right)}}{\sin^{6}{\left(x \right)}} + \frac{12 \left(3 x - 2\right)^{3}}{\sin^{5}{\left(x \right)}} + 6 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} - 1 + \frac{4 \tan^{3}{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) \left(\frac{64 x \tan^{3}{\left(2 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} + \frac{5 \left(3 x - 2\right)^{4}}{\sin^{5}{\left(x \right)}} + \frac{30 \left(3 x - 2\right)^{4} \cos^{2}{\left(x \right)}}{\sin^{7}{\left(x \right)}} - \frac{120 \left(3 x - 2\right)^{3} \cos{\left(x \right)}}{\sin^{6}{\left(x \right)}} + \frac{108 \left(3 x - 2\right)^{2}}{\sin^{5}{\left(x \right)}} + 24 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \tan{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} + 24 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{3}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} + \frac{48 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) + \frac{288 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \tan{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}}} + \frac{288 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{3}{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}}} + \frac{64 \tan^{3}{\left(2 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}\right) + \frac{192 x \tan^{3}{\left(2 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} + \frac{15 \left(3 x - 2\right)^{4}}{\sin^{5}{\left(x \right)}} + \frac{90 \left(3 x - 2\right)^{4} \cos^{2}{\left(x \right)}}{\sin^{7}{\left(x \right)}} - \frac{360 \left(3 x - 2\right)^{3} \cos{\left(x \right)}}{\sin^{6}{\left(x \right)}} + \frac{324 \left(3 x - 2\right)^{2}}{\sin^{5}{\left(x \right)}} + 72 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \tan{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} + 72 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{3}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} + 3 \left(- \frac{5 \left(3 x - 2\right)^{4} \cos{\left(x \right)}}{\sin^{6}{\left(x \right)}} + \frac{12 \left(3 x - 2\right)^{3}}{\sin^{5}{\left(x \right)}} + 6 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)} - 1 + \frac{4 \tan^{3}{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}}}\right)^{2} + \frac{144 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan^{2}{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) e^{- x + \frac{\left(3 x - 2\right)^{4}}{\sin^{5}{\left(x \right)}} + \tan^{3}{\left(2 x \right)} \operatorname{asin}{\left(4 x \right)}}$$