Question

Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler terms to differentiate. $$y = (6x^2 + 5)\left(3x + 8 + \frac{9}{x}\right)$$

Name: find y by a applying the product rule and b multiplying the factors to produce a sum of simpler terms to differentiate y 6x2 5left3x 8 frac9xright 38795
Uploaded: 2023-07-28T09:57:44-08:00
Duration: 1 min 28 s
Channel: Madhur L
Description: find y by a applying the product rule and b multiplying the factors to produce a sum of simpler terms to differentiate y 6x2 5left3x 8 frac9xright 38795

          Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler terms to differentiate.
$$y = (6x^2 + 5)\left(3x + 8 + \frac{9}{x}\right)$$

$find y by a applying the product rule and b multiplying the factors to produce a sum of simpler terms to differentiate y 6x2 5left3x 8 frac9xright 38795$

Added by Jose Miguel R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/28/2023

Step 1

Let's start with part (a) using the Product Rule. The Product Rule states that if $y = u(x)v(x)$, then $y' = u'(x)v(x) + u(x)v'(x)$. In our case, $u(x) = 6x^2 + 5$ and $v(x) = 3x + 8 + \frac{9}{x}$. First, find the derivatives of u(x) and v(x). $u'(x) = Show more…

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Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler terms to differentiate. $$y = (6x^2 + 5)\left(3x + 8 + \frac{9}{x}\right)$$