Question

How do you find the derivative of f(x) = (3x^2 - 3x + 1)/2x using the power rule only ?

Answer 1

First separate it into three separate terms by dividing each by 2x to get rid of the nasty fraction that would require the quotient rule

Answer 2

3x^2/2x - 3x/2x + 1/2x

Answer 3

Right but now the xs cancel in the first and second terms so what do you get if you simplify it?

Answer 4

3x/2- 3/2 + 1/2x

Answer 5

right but you dont want x in the denominator at all so how can we rewrite the last one as a x to a power?

Answer 6

@ssullivan61198 u there ?

Answer 7

1/2x^-1

Answer 8

Yep there you go so now apply the power rule to each of the terms and what do you get?

Answer 9

What about the first one

Answer 10

Thats the same as (3/2)x right?

Answer 11

Oo so 3/2 - 1/2x^-2

Answer 12

Right?

Answer 13

Ty

Answer 14

\[\large \color{navy}{WELCOME~TO~OPENSTUDY}\]

Answer 15

Yep thats right