Question

f(x)= 4x+3/5x+2 find f ' (x)

Answer 1

\[(5x+2(4)-(4x+3)(5))/ (5x+2)^2\]

Answer 2

\[5x+8-(20x+15)\]/(5x+2)^2

Answer 3

\[-15x-5/(5x+2)^2\]

Answer 4

sorry -7 not -5

Answer 5

use
\[(\frac{f}{g})'=\frac{gf'-fg'}{g^2}\] with
\[f(x)=4x+3,f'(x)=4,g(x)=5x+2,g'(x)=5\] and you will get it

Answer 6

can that reduce?

Answer 7

don't look to reduce. it is rare

Answer 8

just multiply out and combine like terms in the numerator

Answer 9

f'(x) =-7/(5x+2)^2

Answer 10

\[4x+\frac{3 x}{5}+2=2+\frac{23 x}{5} \]Derivative of 2+23*x/5 = 23/5