Sr Examen

Otras calculadoras

Derivada de la función/ xtg|x|/ y(x)=x/ y(x)=xtg|x|

Derivada de y(x)=xtg|x|

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
x*tan(|x|)
xtan⁡(∣x∣)x \tan{\left(\left|{x}\right| \right)} 
x*tan(|x|)
Primera derivada [src] 
  /       2     \                   
x*\1 + tan (|x|)/*sign(x) + tan(|x|)
x(tan⁡2(∣x∣)+1)sign⁡(x)+tan⁡(∣x∣)x \left(\tan^{2}{\left(\left|{x}\right| \right)} + 1\right) \operatorname{sign}{\left(x \right)} + \tan{\left(\left|{x}\right| \right)}
Simplificar
Segunda derivada [src] 
  /       2     \ /  /    2                            \          \
2*\1 + tan (|x|)/*\x*\sign (x)*tan(|x|) + DiracDelta(x)/ + sign(x)/
2(x(tan⁡(∣x∣)sign⁡2(x)+δ(x))+sign⁡(x))(tan⁡2(∣x∣)+1)2 \left(x \left(\tan{\left(\left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)} + \delta\left(x\right)\right) + \operatorname{sign}{\left(x \right)}\right) \left(\tan^{2}{\left(\left|{x}\right| \right)} + 1\right)
Simplificar
Tercera derivada [src] 
  /       2     \ /                    /    3    /       2     \         3       2                                                           \         2            \
2*\1 + tan (|x|)/*\3*DiracDelta(x) + x*\sign (x)*\1 + tan (|x|)/ + 2*sign (x)*tan (|x|) + 6*DiracDelta(x)*sign(x)*tan(|x|) + DiracDelta(x, 1)/ + 3*sign (x)*tan(|x|)/
2(tan⁡2(∣x∣)+1)(x((tan⁡2(∣x∣)+1)sign⁡3(x)+2tan⁡2(∣x∣)sign⁡3(x)+6tan⁡(∣x∣)δ(x)sign⁡(x)+δ(1)(x))+3tan⁡(∣x∣)sign⁡2(x)+3δ(x))2 \left(\tan^{2}{\left(\left|{x}\right| \right)} + 1\right) \left(x \left(\left(\tan^{2}{\left(\left|{x}\right| \right)} + 1\right) \operatorname{sign}^{3}{\left(x \right)} + 2 \tan^{2}{\left(\left|{x}\right| \right)} \operatorname{sign}^{3}{\left(x \right)} + 6 \tan{\left(\left|{x}\right| \right)} \delta\left(x\right) \operatorname{sign}{\left(x \right)} + \delta^{\left( 1 \right)}\left( x \right)\right) + 3 \tan{\left(\left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)} + 3 \delta\left(x\right)\right)
Simplificar
    © Sr Examen – Калькулятор