<span>1)y=(2x+5)(x^2+4)</span>
<span>y' = (2x+5)' * (x^2+4) + (2x+5)*(x^2+4)' = 2*(x^2+4) + (2x+5)*(2x) = 2x^2 + 8 + 4x^2 + 10x= 6x^2 + 10x + 8</span>
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<span><span>2)y=((x^3)-1)/(2x+3)</span></span>
<span><span>y' = ((3x^2)*(2x+3) - (x^3-1)*(2x+3))/(2x+3)^2</span></span>
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<span><span><span>3)y=x^-2*корень 3 степени из x= x в степени -5/3</span></span></span>
<span><span><span>y'= -5/3 * x в степени -8/3</span></span></span>
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<span><span><span><span>4)y= корень((4x^2)+5)</span></span></span></span>
y'=(1/2*корень((4x^2)+5))*8x
Х*2х=228
2х²=228
х²=228:2=109
х=√109
х(х+2)=168
х²+2х-168=0
х1=-14<0
х2=12
12+2=14
12 и14
2х-0,4-х-0,4-4<0 U x²-16-11x-x²-5x<0⇒ x<4,8 U -16x<16⇒ x<4,8 U x>-1⇒x∈(-1;4,8)