y=2+(3x+1)/(5x+1)
y`=(2)`+((3x+1)/(5x+1))`
y`=0+(3(5x+1)-(3x+1)*5)/((5x+1)^2)=(15x+3-15x-5)/((5x+1)^2)=
=-2/((5x+1)^2)
y`(4)=-2/(20+1)^2=-2/441
y`=((x^2+2)/(2x+3))`-3`=(2x(2x+3)-(x^2+2)*2)/((2x+3)^2)-0=
=(4x^2+6x-2x^2-4)/((2x+3)^2)=(2x^2+6x-4)/((2x+3)^2)
y`(1)=(2+6-4)/(5^2)=4/25
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
y=2+(3x+1)/(5x+1)
y`=(2)`+((3x+1)/(5x+1))`
y`=0+(3(5x+1)-(3x+1)*5)/((5x+1)^2)=(15x+3-15x-5)/((5x+1)^2)=
=-2/((5x+1)^2)
y`(4)=-2/(20+1)^2=-2/441
y`=((x^2+2)/(2x+3))`-3`=(2x(2x+3)-(x^2+2)*2)/((2x+3)^2)-0=
=(4x^2+6x-2x^2-4)/((2x+3)^2)=(2x^2+6x-4)/((2x+3)^2)
y`(1)=(2+6-4)/(5^2)=4/25