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y(x)=-7(arctg4x)10sin(7x)
Derivada de la función/ ctg4x/ arctg/ sin(7x)/ y(x)=-7(arctg4x)10sin(7x)

Derivada de y(x)=-7(arctg4x)10sin(7x)

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

Ha introducido [src] 
-7*atan(4*x)*10*sin(7*x)
10(−7atan⁡(4x))sin⁡(7x)10 \left(- 7 \operatorname{atan}{\left(4 x \right)}\right) \sin{\left(7 x \right)} 
((-7*atan(4*x))*10)*sin(7*x)
Gráfica
02468-8-6-4-2-1010-20002000
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Primera derivada [src] 
                          280*sin(7*x)
-490*atan(4*x)*cos(7*x) - ------------
                                   2  
                           1 + 16*x
−490cos⁡(7x)atan⁡(4x)−280sin⁡(7x)16x2+1- 490 \cos{\left(7 x \right)} \operatorname{atan}{\left(4 x \right)} - \frac{280 \sin{\left(7 x \right)}}{16 x^{2} + 1}
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Segunda derivada [src] 
   /  56*cos(7*x)                           128*x*sin(7*x)\
70*|- ----------- + 49*atan(4*x)*sin(7*x) + --------------|
   |           2                                        2 |
   |   1 + 16*x                              /        2\  |
   \                                         \1 + 16*x /  /
70(128xsin⁡(7x)(16x2+1)2+49sin⁡(7x)atan⁡(4x)−56cos⁡(7x)16x2+1)70 \left(\frac{128 x \sin{\left(7 x \right)}}{\left(16 x^{2} + 1\right)^{2}} + 49 \sin{\left(7 x \right)} \operatorname{atan}{\left(4 x \right)} - \frac{56 \cos{\left(7 x \right)}}{16 x^{2} + 1}\right)
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Tercera derivada [src] 
   /                                            /           2  \                           \
   |                                            |       64*x   |                           |
   |                                        128*|-1 + ---------|*sin(7*x)                  |
   |                                            |             2|                           |
   |                         588*sin(7*x)       \     1 + 16*x /            2688*x*cos(7*x)|
70*|343*atan(4*x)*cos(7*x) + ------------ - ----------------------------- + ---------------|
   |                                  2                         2                        2 |
   |                          1 + 16*x               /        2\              /        2\  |
   \                                                 \1 + 16*x /              \1 + 16*x /  /
70(2688xcos⁡(7x)(16x2+1)2+343cos⁡(7x)atan⁡(4x)+588sin⁡(7x)16x2+1−128(64x216x2+1−1)sin⁡(7x)(16x2+1)2)70 \left(\frac{2688 x \cos{\left(7 x \right)}}{\left(16 x^{2} + 1\right)^{2}} + 343 \cos{\left(7 x \right)} \operatorname{atan}{\left(4 x \right)} + \frac{588 \sin{\left(7 x \right)}}{16 x^{2} + 1} - \frac{128 \left(\frac{64 x^{2}}{16 x^{2} + 1} - 1\right) \sin{\left(7 x \right)}}{\left(16 x^{2} + 1\right)^{2}}\right)
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Gráfico
Derivada de y(x)=-7(arctg4x)10sin(7x)
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