Answer:
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General Formulas and Concepts:
<u>Calculus</u>
Limits
Limit Rule [Variable Direct Substitution]:
Special Limit Rule [L’Hopital’s Rule]:
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Addition/Subtraction]:
Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given limit</em>.
<u>Step 2: Find Limit</u>
Let's start out by <em>directly</em> evaluating the limit:
- [Limit] Apply Limit Rule [Variable Direct Substitution]:
- Evaluate:
When we do evaluate the limit directly, we end up with an indeterminant form. We can now use L' Hopital's Rule to simply the limit:
- [Limit] Apply Limit Rule [L' Hopital's Rule]:
- [Limit] Differentiate [Derivative Rules and Properties]:
- [Limit] Apply Limit Rule [Variable Direct Substitution]:
- Evaluate:
∴ we have <em>evaluated</em> the given limit.
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Learn more about limits: brainly.com/question/27807253
Learn more about Calculus: brainly.com/question/27805589
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Answer:
Step-by-step explanation:
Let x = hats she knitted
Less than means to subtract and it’s an order switcher so it would be
2x - 6 = 78
First step: Add six to both sides -6 + 6 = 0 6 + 78 = 84
2x - 6 = 78
+ 6. +6
2x = 84
Second step: Divide the coefficient on both sides, two is the coefficient
2x/2 = x
2/84 = 42
Therefore, the answer is x= 42
Answer:
Have not done this in a while but I believe it is 81
Step-by-step explanation:
Please excuse me if I am wrong but hope this helps