Question

найдите производную функции f (x)= x+2/ x^3

Answer 1

f`(x)=(1*x³-3x²*(x+2))/x^6=(x³-3x³-6x²)/x^6=x²(x-9)/x^6=(x-9)/x^4

            

                                 

Answer 2

f'(x)=(x+2)'*x^3-(x^3)'*(x+2)/(x^3)^2=1*x^3-3*x^2*(x+2)/x^6=x^3-3x^3-6x^2/x^6=-2x^3-6x^2/x^6=-2x^2(x+3)/x^6=-2(x+3)/x^4