Use the chain rule to find the derivative of each of the following : a.

b.

see explanation

Step-by-step explanation:

Using the chain rule

Given

y = f(g(x)), then

= f'(g(x)) × g'(x)

(a)

y = = 2 (

= 2. - 3 × (3x² - x + 7)

   = - 6 × (6x - 1)

   =

---------------------------------------------------

   (b)

y =

= 10 × (4x - 10)

    = 10 × 4

     = 40

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: