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y=(2x+3)cos4x+arcsin^5x
Derivada de la función/ cos4x/ (2x+3)/ arcsin/ sin^5x/ y=(2x+3)cos4x+arcsin^5x

Derivada de y=(2x+3)cos4x+arcsin^5x

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

Ha introducido [src] 
                         5   
(2*x + 3)*cos(4*x) + asin (x)
(2x+3)cos⁡(4x)+asin⁡5(x)\left(2 x + 3\right) \cos{\left(4 x \right)} + \operatorname{asin}^{5}{\left(x \right)} 
(2*x + 3)*cos(4*x) + asin(x)^5
Gráfica
02468-8-6-4-2-1010-5050
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Trazar el gráfico f'(x)
Primera derivada [src] 
                                           4   
                                     5*asin (x)
2*cos(4*x) - 4*(2*x + 3)*sin(4*x) + -----------
                                       ________
                                      /      2 
                                    \/  1 - x
−4(2x+3)sin⁡(4x)+2cos⁡(4x)+5asin⁡4(x)1−x2- 4 \left(2 x + 3\right) \sin{\left(4 x \right)} + 2 \cos{\left(4 x \right)} + \frac{5 \operatorname{asin}^{4}{\left(x \right)}}{\sqrt{1 - x^{2}}}
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Segunda derivada [src] 
                      3                                      4   
               20*asin (x)                           5*x*asin (x)
-16*sin(4*x) - ----------- - 16*(3 + 2*x)*cos(4*x) + ------------
                       2                                     3/2 
                 -1 + x                              /     2\    
                                                     \1 - x /
5xasin⁡4(x)(1−x2)32−16(2x+3)cos⁡(4x)−16sin⁡(4x)−20asin⁡3(x)x2−1\frac{5 x \operatorname{asin}^{4}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 16 \left(2 x + 3\right) \cos{\left(4 x \right)} - 16 \sin{\left(4 x \right)} - \frac{20 \operatorname{asin}^{3}{\left(x \right)}}{x^{2} - 1}
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Tercera derivada [src] 
                      4             2                                  2     4               3   
                5*asin (x)   60*asin (x)                           15*x *asin (x)   60*x*asin (x)
-96*cos(4*x) + ----------- + ----------- + 64*(3 + 2*x)*sin(4*x) + -------------- + -------------
                       3/2           3/2                                    5/2                2 
               /     2\      /     2\                               /     2\          /      2\  
               \1 - x /      \1 - x /                               \1 - x /          \-1 + x /
15x2asin⁡4(x)(1−x2)52+60xasin⁡3(x)(x2−1)2+64(2x+3)sin⁡(4x)−96cos⁡(4x)+5asin⁡4(x)(1−x2)32+60asin⁡2(x)(1−x2)32\frac{15 x^{2} \operatorname{asin}^{4}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{60 x \operatorname{asin}^{3}{\left(x \right)}}{\left(x^{2} - 1\right)^{2}} + 64 \left(2 x + 3\right) \sin{\left(4 x \right)} - 96 \cos{\left(4 x \right)} + \frac{5 \operatorname{asin}^{4}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{60 \operatorname{asin}^{2}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}}
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Gráfico
Derivada de y=(2x+3)cos4x+arcsin^5x
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