Sr Examen

Otras calculadoras


2*cot(x)+4*2^x+6*asin(x)

Derivada de 2*cot(x)+4*2^x+6*asin(x)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src]
              x            
2*cot(x) + 4*2  + 6*asin(x)
$$\left(4 \cdot 2^{x} + 2 \cot{\left(x \right)}\right) + 6 \operatorname{asin}{\left(x \right)}$$
2*cot(x) + 4*2^x + 6*asin(x)
Gráfica
Primera derivada [src]
          2           6           x       
-2 - 2*cot (x) + ----------- + 4*2 *log(2)
                    ________              
                   /      2               
                 \/  1 - x                
$$4 \cdot 2^{x} \log{\left(2 \right)} - 2 \cot^{2}{\left(x \right)} - 2 + \frac{6}{\sqrt{1 - x^{2}}}$$
Segunda derivada [src]
  /   x    2        /       2   \              3*x    \
2*|2*2 *log (2) + 2*\1 + cot (x)/*cot(x) + -----------|
  |                                                3/2|
  |                                        /     2\   |
  \                                        \1 - x /   /
$$2 \left(2 \cdot 2^{x} \log{\left(2 \right)}^{2} + \frac{3 x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 2 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right)$$
Tercera derivada [src]
  /                 2                                                                 2   \
  |    /       2   \         3             2    /       2   \      x    3          9*x    |
2*|- 2*\1 + cot (x)/  + ----------- - 4*cot (x)*\1 + cot (x)/ + 2*2 *log (2) + -----------|
  |                             3/2                                                    5/2|
  |                     /     2\                                               /     2\   |
  \                     \1 - x /                                               \1 - x /   /
$$2 \left(2 \cdot 2^{x} \log{\left(2 \right)}^{3} + \frac{9 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - 2 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} - 4 \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)} + \frac{3}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right)$$
Gráfico
Derivada de 2*cot(x)+4*2^x+6*asin(x)