PLZ HELP CORRECT ANSWER WILL GET BRAINLIEST

f'(x) = 18x sin²(3x²)cos(3x²)

Step-by-step explanation:

Differentiate using the chain rule

Given

h(x) = f(g(x)) , then

h'(x) = f'(g(x)) × g'(x) ← Chain rule

Here

f(x) = sin³(3x²)

f'(x) = 3sin²(3x²)cos(3x²)

g(x) = 3x²

g'(x) = 6x

Thus

F'(x) = 3sin²(3x²)cos(3x²) × 6x

       = 18x sin²(3x²)cos(3x²)

f

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40