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y=cosh3x/sec3x+x^2
Derivada de la función/ y=cos/ x+x^2/ y=cosh3x/sec3x+x^2

Derivada de y=cosh3x/sec3x+x^2

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

Ha introducido [src] 
cosh(3*x)    2
--------- + x 
 sec(3*x)
x2+cosh⁡(3x)sec⁡(3x)x^{2} + \frac{\cosh{\left(3 x \right)}}{\sec{\left(3 x \right)}} 
cosh(3*x)/sec(3*x) + x^2
Gráfica
02468-8-6-4-2-1010-2500000000000025000000000000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
      3*sinh(3*x)   3*cosh(3*x)*tan(3*x)
2*x + ----------- - --------------------
        sec(3*x)          sec(3*x)
2x−3tan⁡(3x)cosh⁡(3x)sec⁡(3x)+3sinh⁡(3x)sec⁡(3x)2 x - \frac{3 \tan{\left(3 x \right)} \cosh{\left(3 x \right)}}{\sec{\left(3 x \right)}} + \frac{3 \sinh{\left(3 x \right)}}{\sec{\left(3 x \right)}}
Simplificar
Segunda derivada [src] 
                                            /       2     \                  2               
    9*cosh(3*x)   18*sinh(3*x)*tan(3*x)   9*\1 + tan (3*x)/*cosh(3*x)   9*tan (3*x)*cosh(3*x)
2 + ----------- - --------------------- - --------------------------- + ---------------------
      sec(3*x)           sec(3*x)                   sec(3*x)                   sec(3*x)
−9(tan⁡2(3x)+1)cosh⁡(3x)sec⁡(3x)+9tan⁡2(3x)cosh⁡(3x)sec⁡(3x)−18tan⁡(3x)sinh⁡(3x)sec⁡(3x)+9cosh⁡(3x)sec⁡(3x)+2- \frac{9 \left(\tan^{2}{\left(3 x \right)} + 1\right) \cosh{\left(3 x \right)}}{\sec{\left(3 x \right)}} + \frac{9 \tan^{2}{\left(3 x \right)} \cosh{\left(3 x \right)}}{\sec{\left(3 x \right)}} - \frac{18 \tan{\left(3 x \right)} \sinh{\left(3 x \right)}}{\sec{\left(3 x \right)}} + \frac{9 \cosh{\left(3 x \right)}}{\sec{\left(3 x \right)}} + 2
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Tercera derivada [src] 
   /     3                    /       2     \                                         2                  /       2     \                               \
27*\- tan (3*x)*cosh(3*x) - 3*\1 + tan (3*x)/*sinh(3*x) - 3*cosh(3*x)*tan(3*x) + 3*tan (3*x)*sinh(3*x) + \1 + tan (3*x)/*cosh(3*x)*tan(3*x) + sinh(3*x)/
--------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                        sec(3*x)
27((tan⁡2(3x)+1)tan⁡(3x)cosh⁡(3x)−3(tan⁡2(3x)+1)sinh⁡(3x)−tan⁡3(3x)cosh⁡(3x)+3tan⁡2(3x)sinh⁡(3x)−3tan⁡(3x)cosh⁡(3x)+sinh⁡(3x))sec⁡(3x)\frac{27 \left(\left(\tan^{2}{\left(3 x \right)} + 1\right) \tan{\left(3 x \right)} \cosh{\left(3 x \right)} - 3 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sinh{\left(3 x \right)} - \tan^{3}{\left(3 x \right)} \cosh{\left(3 x \right)} + 3 \tan^{2}{\left(3 x \right)} \sinh{\left(3 x \right)} - 3 \tan{\left(3 x \right)} \cosh{\left(3 x \right)} + \sinh{\left(3 x \right)}\right)}{\sec{\left(3 x \right)}}
Simplificar
Gráfico
Derivada de y=cosh3x/sec3x+x^2
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