2. a) f'(x)=4x-4/(2√x)=4x-2/√x;
f'(4)=4*4-2/√4=16-2=14;
б) f'(x)=32*(-5)/x⁶;
f'(2)=-32*5/2⁶=-5/2=-2.5;
3. (u*v)'=u'v+uv'
у'=-2sinx-2x*cosx
б) (u/v)'=(u'v-uv')/v²
у'=((2-6)(3x-4)-3*(2x-3x²))/(3x-4)²=(30x-18x²-8-6x+9x²)/(3x-4)²=
(-9x²+24x-8)/(3x-4)²
в)у'=6*(3x⁵-x)⁵*(3x⁵-x)'=6*(3x⁵-x)⁵*(15x⁴-1)
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2. a) f'(x)=4x-4/(2√x)=4x-2/√x;
f'(4)=4*4-2/√4=16-2=14;
б) f'(x)=32*(-5)/x⁶;
f'(2)=-32*5/2⁶=-5/2=-2.5;
3. (u*v)'=u'v+uv'
у'=-2sinx-2x*cosx
б) (u/v)'=(u'v-uv')/v²
у'=((2-6)(3x-4)-3*(2x-3x²))/(3x-4)²=(30x-18x²-8-6x+9x²)/(3x-4)²=
(-9x²+24x-8)/(3x-4)²
в)у'=6*(3x⁵-x)⁵*(3x⁵-x)'=6*(3x⁵-x)⁵*(15x⁴-1)