12a. Answer: d) x⁶ f'(x) + 6x⁵ f(x)
<u>Step-by-step explanation:</u>
Use the multiplication formula for derivatives:
y = a · b → y' = a'b + ab'
<u>y = x⁶ · f(x) </u>
a = x⁶ b = f(x)
a' = 6x⁵ b' = f'(x)
<u>y' = a'b + ab'</u>
y' = 6x⁵ f(x) + x⁶ f'(x)
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12b. Answer: 
<u>Step-by-step explanation:</u>
Use the division formula for derivatives:
→ 
Note: You can also move the denominator to the top (it will have a negative exponent) and use the multiplication formula for derivatives.
Answer:
x = 12
Step-by-step explanation:
10x = 120 original equation
10x/10 = 120/10 divide both sides by 10
x = 12 simplify
Check work:
10(12) = 120
120 = 120 (true)
Answer:
Step-by-step explanation:
Given
Required
Solve
From the analysis attached to the question, we can solve this equation by subtracting 5 from both sides:
Square A:
Length = 13 inches
Height = 2 inches
Volume: 23 inches
-----------------------------
Square B:
Length = 5 inches
Height = 2 inches
<span>Volume: 10 inches
</span>
23 x 10 = <span>230 inches
</span>
VOLUME: 230 inches
Answer:
12 ft
Step-by-step explanation:
Write and solve an equation of ratios:
6 ft 4 ft
-------- = --------
18 ft w
Cross multiplying, we get: 6w = 72 ft^2, so w = 12 ft
