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.
<span>Solution for x^2+10x+75=0 equation: Simplifying <span>x2</span> + 10x + 75 = 0 Reorder the terms: 75 + 10x + <span>x2</span> = 0Solving 75 + 10x + <span>x2</span> = 0 Solving for variable 'x'.</span><span>
</span>
Answer:
D
Step-by-step explanation:
it's the only one that is actually correct along with having the decimal in the right spot.
Answer: Symmetric property of equality
This is the idea that if x = y, then y = x. We can swap the left and right sides of an equation, and still mean the same thing. The same applies to congruences as well.