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y=5∧x+arcsin(4x-1)+2x∧3

Derivada de y=5∧x+arcsin(4x-1)+2x∧3

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

Ha introducido [src]
 x                      3
5  + asin(4*x - 1) + 2*x 
$$2 x^{3} + \left(5^{x} + \operatorname{asin}{\left(4 x - 1 \right)}\right)$$
5^x + asin(4*x - 1) + 2*x^3
Gráfica
Primera derivada [src]
         4               2    x       
------------------- + 6*x  + 5 *log(5)
   ________________                   
  /              2                    
\/  1 - (4*x - 1)                     
$$5^{x} \log{\left(5 \right)} + 6 x^{2} + \frac{4}{\sqrt{1 - \left(4 x - 1\right)^{2}}}$$
Segunda derivada [src]
        x    2         16*(-1 + 4*x)    
12*x + 5 *log (5) + --------------------
                                     3/2
                    /              2\   
                    \1 - (-1 + 4*x) /   
$$5^{x} \log{\left(5 \right)}^{2} + 12 x + \frac{16 \left(4 x - 1\right)}{\left(1 - \left(4 x - 1\right)^{2}\right)^{\frac{3}{2}}}$$
Tercera derivada [src]
                                                         2   
              64             x    3        192*(-1 + 4*x)    
12 + -------------------- + 5 *log (5) + --------------------
                      3/2                                 5/2
     /              2\                   /              2\   
     \1 - (-1 + 4*x) /                   \1 - (-1 + 4*x) /   
$$5^{x} \log{\left(5 \right)}^{3} + 12 + \frac{64}{\left(1 - \left(4 x - 1\right)^{2}\right)^{\frac{3}{2}}} + \frac{192 \left(4 x - 1\right)^{2}}{\left(1 - \left(4 x - 1\right)^{2}\right)^{\frac{5}{2}}}$$
Gráfico
Derivada de y=5∧x+arcsin(4x-1)+2x∧3