Question

1st 2nd and 3rd derivative of 2x/ 3x-2?? helpp

Answer 1

remember the quotient rule here ...let 2x = f and 3x - 2 = g

Answer 2

f'=(3x-2)(2)-(2x)(3) / (3x-2)^2?

Answer 3

correct....so that would equal the first derivative

Answer 4

well simplified I believe it's -4 / (3x-2)^2
but how would I go about the second derivative?

Answer 5

you are correct for the first derivative....also expand the denominator though

so -4/9x² - 12x + 4 right?

Answer 6

for the second derivative...do the SAME thing....

let -4 be f and 9x² - 12x + 4 be g

so

g * derivative of f - f * derivative of g all over g squared

Answer 7

ok, thank you