Question

|Помогите 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

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

Answer 2

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