Question

найти производную функции

 

f(x)=(x^2-6)/(8x^2+4)

 

f(x)=(x^2+3x-2)/(x^2-7x)

 

 

Answer 1

2)f`(x)((2x+3)(x²-7x)-(x²+3x-2)(2x-7))/(x²-7x)²=(2x³-14x²+3x²-21x-2x³+7x²-6x²+21x+4x-14)/(x²-7x)²=(-10x²+4x-14)/(x²-7x)²=-2(5x²-2x+7)/(x²-7x)²
1)(2x(8x²+4)-(x²-6)*16x)/(8x²+4)²=(16x³+8x-16x³+96x)/(8x²+4)²=104x/(8x²+4)²