Question

|решить уравнения на тему "производная" f(x)= (4-3x)^10 f(x)= 3x-2/7x+3 f(x)= x/cos3x f(x)=√x^4-1 f(x)= cos2x+sin(x + π/4)

Answer 1

$y'=10(4-3x)^9\cdot (-3)=-30(4-3x)^9\\\\y'=(3x-\frac{2}{7x}+3)'=3-\frac{2}{7}\cdot (-\frac{1}{x^2})=3+\frac{2}{7x^2}\\\\y'=(\frac{x}{cos3x})'=\frac{cos3x+3xsin3x}{cos^23x}\\\\y'=(\sqrt{x^4-1})'=\frac{4x^3}{2\sqrt{x^4-1}}\\\\y'=(cos2x+sin(x+\frac{\pi}{4}))'=-2sin2x+cos(x+\frac{\pi}{4})$

Answer 2

1)F'=10(4-3x)^9
U'=-3
y=-30(4-3x)^9