Sr Examen

Otras calculadoras

y=arctan²(3x)-arcsin(x²)
Derivada de la función/ arcsin/ arctan/ sin(x²)/ y=arctan²(3x)-arcsin(x²)

Derivada de y=arctan²(3x)-arcsin(x²)

Función f() - derivada -er orden en el punto
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
    2            / 2\
atan (3*x) - asin\x /
−asin⁡(x2)+atan⁡2(3x)- \operatorname{asin}{\left(x^{2} \right)} + \operatorname{atan}^{2}{\left(3 x \right)} 
atan(3*x)^2 - asin(x^2)
Gráfica
02468-8-6-4-2-10105-5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
      2*x       6*atan(3*x)
- ----------- + -----------
     ________            2 
    /      4      1 + 9*x  
  \/  1 - x
−2x1−x4+6atan⁡(3x)9x2+1- \frac{2 x}{\sqrt{1 - x^{4}}} + \frac{6 \operatorname{atan}{\left(3 x \right)}}{9 x^{2} + 1}
Simplificar
Segunda derivada [src] 
  /                                     4                    \
  |       1             9            2*x       54*x*atan(3*x)|
2*|- ----------- + ----------- - ----------- - --------------|
  |     ________             2           3/2              2  |
  |    /      4    /       2\    /     4\       /       2\   |
  \  \/  1 - x     \1 + 9*x /    \1 - x /       \1 + 9*x /   /
2(−2x4(1−x4)32−54xatan⁡(3x)(9x2+1)2+9(9x2+1)2−11−x4)2 \left(- \frac{2 x^{4}}{\left(1 - x^{4}\right)^{\frac{3}{2}}} - \frac{54 x \operatorname{atan}{\left(3 x \right)}}{\left(9 x^{2} + 1\right)^{2}} + \frac{9}{\left(9 x^{2} + 1\right)^{2}} - \frac{1}{\sqrt{1 - x^{4}}}\right)
Simplificar
Tercera derivada [src] 
  /                                      7             3           2          \
  |     243*x      27*atan(3*x)       6*x           5*x       972*x *atan(3*x)|
4*|- ----------- - ------------ - ----------- - ----------- + ----------------|
  |            3             2            5/2           3/2               3   |
  |  /       2\    /       2\     /     4\      /     4\        /       2\    |
  \  \1 + 9*x /    \1 + 9*x /     \1 - x /      \1 - x /        \1 + 9*x /    /
4(−6x7(1−x4)52−5x3(1−x4)32+972x2atan⁡(3x)(9x2+1)3−243x(9x2+1)3−27atan⁡(3x)(9x2+1)2)4 \left(- \frac{6 x^{7}}{\left(1 - x^{4}\right)^{\frac{5}{2}}} - \frac{5 x^{3}}{\left(1 - x^{4}\right)^{\frac{3}{2}}} + \frac{972 x^{2} \operatorname{atan}{\left(3 x \right)}}{\left(9 x^{2} + 1\right)^{3}} - \frac{243 x}{\left(9 x^{2} + 1\right)^{3}} - \frac{27 \operatorname{atan}{\left(3 x \right)}}{\left(9 x^{2} + 1\right)^{2}}\right)
Simplificar
Gráfico
Derivada de y=arctan²(3x)-arcsin(x²)
    © Sr Examen – Калькулятор