Answer:
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Product Rule]:
Derivative Rule [Chain Rule]:
Implicit Differentiation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Differentiate</u>
- Implicit Differentiation:
- Rewrite [Derivative Property - Addition/Subtraction]:
- Rewrite [Derivative Property - Multiplied Constant]:
- Basic Power Rule [Product Rule, Chain Rule]:
- Basic Power Rule [Chain Rule]:
- Simplify:
- Isolate <em>y'</em> terms:
- Factor:
- Isolate <em>y'</em>:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Book: College Calculus 10e
The solution of x in the inequality is x > 2
<h3>How to solve for x in the inequality?</h3>
The inequality is given as:
5x + one third(3x + 6) > 14
Rewrite properly as:
5x + 1/3(3x + 6) > 14
Open the brackets
5x + x + 2 > 14
Subtract 2 from both sides of the inequality
5x + x + 2 - 2> 14 - 2
Evaluate the difference
5x + x > 12
Evaluate the like terms
6x > 12
Divide both sides of the inequality by 2
x > 2
Hence, the solution of x in the inequality is x > 2
Read more about inequality at:
brainly.com/question/24372553
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Answer:
20÷25
Step-by-step explanation:
20÷25=0.8
0.8 as a fraction is 8/10 which can be simplified down to 4/5
25 and 20 both go into 5. so that means that we know the numerator is 5. how many 5's go into 25? 5. how many 5's go into 20? 4. so we know it's 4/5
<span>3.01419753086 or approximately 3
</span>
Answer:
perimeter of the shape = 124.9. mm
area of the shape. = 934.3 mm2