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 (-4)/x^2
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Derivada de 2/x²
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Derivada de -2*y
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Derivada de 3/2x
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Expresiones idénticas
- x*(ln(arctg(7x)))+(4x+ uno)/((tg(x)^ tres)+ uno)
- x multiplicar por (ln(arctg(7x))) más (4x más 1) dividir por ((tg(x) al cubo ) más 1)
- x multiplicar por (ln(arctg(7x))) más (4x más uno) dividir por ((tg(x) en el grado tres) más uno)
- x*(ln(arctg(7x)))+(4x+1)/((tg(x)3)+1)
- x*lnarctg7x+4x+1/tgx3+1
- x*(ln(arctg(7x)))+(4x+1)/((tg(x)³)+1)
- x*(ln(arctg(7x)))+(4x+1)/((tg(x) en el grado 3)+1)
- x(ln(arctg(7x)))+(4x+1)/((tg(x)^3)+1)
- x(ln(arctg(7x)))+(4x+1)/((tg(x)3)+1)
- xlnarctg7x+4x+1/tgx3+1
- xlnarctg7x+4x+1/tgx^3+1
- x*(ln(arctg(7x)))+(4x+1) dividir por ((tg(x)^3)+1)
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Expresiones semejantes
- x*(ln(arctg(7x)))-(4x+1)/((tg(x)^3)+1)
- x*(ln(arctg(7x)))+(4x+1)/((tg(x)^3)-1)
- x*(ln(arctg(7x)))+(4x-1)/((tg(x)^3)+1)
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Expresiones con funciones
- ln
- ln(×)
- ln(x+a)
- ln(e^x-e^a)
- ln^3(3x)
- ln(2/x)
Derivada de x*(ln(arctg(7x)))+(4x+1)/((tg(x)^3)+1)
Solución
Ha introducido
[src]
4*x + 1
x*log(atan(7*x)) + -----------
3
tan (x) + 1
$$x \log{\left(\operatorname{atan}{\left(7 x \right)} \right)} + \frac{4 x + 1}{\tan^{3}{\left(x \right)} + 1}$$
x*log(atan(7*x)) + (4*x + 1)/(tan(x)^3 + 1)
Primera derivada
[src]
2 / 2 \
4 7*x tan (x)*\3 + 3*tan (x)/*(4*x + 1)
----------- + --------------------- - --------------------------------- + log(atan(7*x))
3 / 2\ 2
tan (x) + 1 \1 + 49*x /*atan(7*x) / 3 \
\tan (x) + 1/
$$\frac{7 x}{\left(49 x^{2} + 1\right) \operatorname{atan}{\left(7 x \right)}} - \frac{\left(4 x + 1\right) \left(3 \tan^{2}{\left(x \right)} + 3\right) \tan^{2}{\left(x \right)}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{2}} + \log{\left(\operatorname{atan}{\left(7 x \right)} \right)} + \frac{4}{\tan^{3}{\left(x \right)} + 1}$$
Segunda derivada
[src]
2 2
2 2 / 2 \ / 2 \ 3 / 2 \ / 2 \ 4
14 686*x 49*x 24*tan (x)*\1 + tan (x)/ 6*\1 + tan (x)/ *(1 + 4*x)*tan(x) 6*tan (x)*\1 + tan (x)/*(1 + 4*x) 18*\1 + tan (x)/ *tan (x)*(1 + 4*x)
--------------------- - ---------------------- - ----------------------- - ------------------------ - --------------------------------- - --------------------------------- + -----------------------------------
/ 2\ 2 2 2 2 2 3
\1 + 49*x /*atan(7*x) / 2\ / 2\ 2 / 3 \ / 3 \ / 3 \ / 3 \
\1 + 49*x / *atan(7*x) \1 + 49*x / *atan (7*x) \1 + tan (x)/ \1 + tan (x)/ \1 + tan (x)/ \1 + tan (x)/
$$- \frac{686 x^{2}}{\left(49 x^{2} + 1\right)^{2} \operatorname{atan}{\left(7 x \right)}} - \frac{49 x}{\left(49 x^{2} + 1\right)^{2} \operatorname{atan}^{2}{\left(7 x \right)}} - \frac{6 \left(4 x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan{\left(x \right)}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{2}} + \frac{18 \left(4 x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan^{4}{\left(x \right)}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{3}} - \frac{6 \left(4 x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{3}{\left(x \right)}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{2}} - \frac{24 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{2}} + \frac{14}{\left(49 x^{2} + 1\right) \operatorname{atan}{\left(7 x \right)}}$$
Tercera derivada
[src]
2 3 2 3 2 2 3
/ 2 \ 3 / 2 \ / 2 \ / 2 \ 4 2 3 / 2 \ 6 / 2 \ 2 4 / 2 \ / 2 \ 5 / 2 \ 3
147 2744*x 72*\1 + tan (x)/ *tan(x) 72*tan (x)*\1 + tan (x)/ 6*\1 + tan (x)/ *(1 + 4*x) 216*\1 + tan (x)/ *tan (x) 686*x 14406*x 134456*x 162*\1 + tan (x)/ *tan (x)*(1 + 4*x) 42*\1 + tan (x)/ *tan (x)*(1 + 4*x) 12*tan (x)*\1 + tan (x)/*(1 + 4*x) 108*\1 + tan (x)/ *tan (x)*(1 + 4*x) 108*\1 + tan (x)/ *tan (x)*(1 + 4*x)
- ----------------------- - ---------------------- - ------------------------ - ------------------------ - -------------------------- + -------------------------- + ----------------------- + ----------------------- + ---------------------- - ------------------------------------ - ----------------------------------- - ---------------------------------- + ------------------------------------ + ------------------------------------
2 2 2 2 2 3 3 3 3 4 2 2 3 3
/ 2\ 2 / 2\ / 3 \ / 3 \ / 3 \ / 3 \ / 2\ 3 / 2\ 2 / 2\ / 3 \ / 3 \ / 3 \ / 3 \ / 3 \
\1 + 49*x / *atan (7*x) \1 + 49*x / *atan(7*x) \1 + tan (x)/ \1 + tan (x)/ \1 + tan (x)/ \1 + tan (x)/ \1 + 49*x / *atan (7*x) \1 + 49*x / *atan (7*x) \1 + 49*x / *atan(7*x) \1 + tan (x)/ \1 + tan (x)/ \1 + tan (x)/ \1 + tan (x)/ \1 + tan (x)/
$$\frac{134456 x^{3}}{\left(49 x^{2} + 1\right)^{3} \operatorname{atan}{\left(7 x \right)}} + \frac{14406 x^{2}}{\left(49 x^{2} + 1\right)^{3} \operatorname{atan}^{2}{\left(7 x \right)}} - \frac{2744 x}{\left(49 x^{2} + 1\right)^{2} \operatorname{atan}{\left(7 x \right)}} + \frac{686 x}{\left(49 x^{2} + 1\right)^{3} \operatorname{atan}^{3}{\left(7 x \right)}} - \frac{6 \left(4 x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{3}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{2}} + \frac{108 \left(4 x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{3} \tan^{3}{\left(x \right)}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{3}} - \frac{162 \left(4 x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{3} \tan^{6}{\left(x \right)}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{4}} - \frac{42 \left(4 x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan^{2}{\left(x \right)}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{2}} + \frac{108 \left(4 x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan^{5}{\left(x \right)}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{3}} - \frac{12 \left(4 x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{4}{\left(x \right)}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{2}} - \frac{72 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan{\left(x \right)}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{2}} + \frac{216 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan^{4}{\left(x \right)}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{3}} - \frac{72 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{3}{\left(x \right)}}{\left(\tan^{3}{\left(x \right)} + 1\right)^{2}} - \frac{147}{\left(49 x^{2} + 1\right)^{2} \operatorname{atan}^{2}{\left(7 x \right)}}$$
Gráfico