Hi, could someone help me differentiate Q6 b with the use if ln
1 answer:
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra II</u>
- Natural logarithms ln and Euler's number e
- Logarithmic Property [Dividing]:
- Logarithmic Property [Exponential]:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
- Implicit Differentiation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Quotient Rule]:
Derivative Rule [Chain Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Rewrite</u>
- [Equality Property] ln both sides:
- Expand [Logarithmic Property - Dividing]:
- Simplify [Logarithmic Property - Exponential]:
<u>Step 3: Differentiate</u>
- Implicit Differentiation:
- Logarithmic Differentiation [Derivative Rule - Chain Rule]:
- Basic Power Rule:
- Simplify:
- Isolate :
- Substitute in <em>y</em> [Derivative]:
- Simplify:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Book: College Calculus 10e
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
B. x = -4
Step-by-step explanation:
- 7x - 35 = -7
add 35 to both sides
-7x = 28
Divde both sides by -7
x = -4