28.29.y=sin(3x-9);⇒y¹3·cos(3x-9);
y=cos(π/3-4x);⇒y¹=(-4)·(-sin(π/3-4x))=4sin(π/3-4x);
y=cos(9x-10);⇒y¹=9(-sin(9x-10))=-9sin(9x-10);
y=sin(5-3x)⇒y¹=-3cos(5-3x);
28.30.y=√(15-7x)=(15-7x)^(1/2);⇒
y¹=(-7)·1/2·(15-7x)¹/²⁻¹=-7/2·(15-7x)⁻¹/²=-7/(2·√(15-7x));
y=√(42+0.5x);⇒y¹=1/2·0.5·(42+0.5x)⁻¹/²=1/(4·√(42+0.5x);
y=√(4+9x);⇒y¹=9·1/2·(4+9x)⁻¹/²=9/(2·√(4+9x));
y=√(50-0.2x)⇒y¹=(-0.2)·1/2·(50-0.2x)⁻¹/²=-1/(10·√(500.2x));
28.31y=(3x-2)⁷;x₀=3⇒
f¹(x)=3·(3x-7)⁶;f¹(x₀)=3·(3·3-7)⁶=3·(2)⁶=3·64=192;
28.32.y=(2x+1)⁵;x₀=-1;
f¹(x)=2·5(2x+1)⁴=10(2x+4)⁴;
f¹(x₀)=10(-2+4)⁴=10·2⁴=160;
(x^2-4x+4)/(x^2-9x+14)= x^2-9x+14=0
=(x-2)^2/(x-2)(x-7)= x1+x2=9
=x-2/x-7 x1x2=14⇒x1=2, x2=7
x^4-2x^2-400x=9999
x^4-2x^2-400x-9999=0
(x-11)(x+9)(x^2+2x+101)=0
x-11=0⇒x=11
x+9=0⇒x=-9
x^2+2x+101=0⇒D<0⇒реш. нет
ОТВЕТ: -9; 11
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(x-2)^2+4x=1
x^2-4x+4+4x-1=0
x^2+3=0
x^2=-3
нет решений