Question

Найдите производные функций
f (x)=20 (7x+4)^4;
y=sin (3x+2);
y=2e^5x-cos2x

Answer 1

1)f(x)=20.(7x+4)ˇ4=20.4.(7x+4)ˇ3.7=560.(7x+4)ˇ3
2)y=sin(3x+2), y´=3.cos(3x+2)
3)y=2.eˇ5x - cos2x=2.5.eˇ5x+2.sin2x=10.eˇ5x +2.sin2x

(2ˇ2=2.2. 3ˇ4=3.3.3.3. aˇ3=a.a.a itd.)