Hasil turunan dari fungsi​

turunan dari bentuk

U/V = (U'V – UV') / V^2

1. U = 3x^2 – 2x

U' = 6x – 2

V = x^2

V' = 2x

U/V = (6x-2)(x^2) – (3x^2-2x)(2x) / (x^2)^2

= 6x^3 – 2x^2 – 6x^3 + 4x^2 / x^4

= 2x^2 / x^4

= 2 / x^2

2. U = x^2 – x

U' = 2x – 1

V = x+3

V' = 1

= (2x-1)(x+3) – (x^2-x)(1) / (x+3)^2

= 2x^2 + 5x – 3 – x^2 + x / (x+3)^2

= x^2 + 6x – 3 / (x+3)^2

3. U = x^3 – 2x

U' = 3x^2 – 2

V = x^2

V' = 2x

= (3x^2-2)(x^2) – (x^3-2x)(2x) / (x^2)^2

= 3x^4 – 2x^2 – 2x^4 + 4x^2 / x^4

= x^4 + 2x^2 / x^4

= x^2 + 2 / x^2