Solved: "Derivatives of products and quotients Find the derivative..." - Plainmath

idiopatia0f

Answered question

2021-12-07

Derivatives of products and quotients Find the derivative of the following functions by first expanding or simplifying the expression.

y = \frac{12 s^{3} - 8 s^{2} + 12 s}{4 s}

Answer & Explanation

Beverly Smith

Beginner2021-12-08Added 42 answers

Step 1
Here

y = \frac{12 s^{3} - 8 s^{2} + 12 s}{4 s}

= \frac{12 s^{3}}{4 s} - \frac{8 s^{2}}{4 s} + \frac{12 s}{4 s}

= 3 s^{2} - 2 s + 3

Step 2
Differentiate with respect to x

y = \frac{d}{d x} (3 s^{2} - 2 s + 3)

y=6s-2

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