Find the derivative of f(x) = 28 √√2x+3

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.4: Operations On Functions
Problem 123E
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**Mathematics Support - Calculus**

**Exercise: Derivative Calculation**

Find the derivative of the function \( f(x) = \frac{28}{\sqrt{7(2x+3)}} \).

*Instructions:*

- Enclose numerators and denominators in parentheses. For example, \( a \cdot \pi \).

*Symbols Available:*

- \( a^b \): Exponentiation
- \( \frac{a}{b} \): Fraction
- \( \sqrt{a} \): Square root
- \( a|b \): Absolute value
- \(\pi\): Pi, the mathematical constant
- \(\sin(a)\): Sine function

*Note:* Ensure correct notation for clarity in mathematical expressions.
Transcribed Image Text:**Mathematics Support - Calculus** **Exercise: Derivative Calculation** Find the derivative of the function \( f(x) = \frac{28}{\sqrt{7(2x+3)}} \). *Instructions:* - Enclose numerators and denominators in parentheses. For example, \( a \cdot \pi \). *Symbols Available:* - \( a^b \): Exponentiation - \( \frac{a}{b} \): Fraction - \( \sqrt{a} \): Square root - \( a|b \): Absolute value - \(\pi\): Pi, the mathematical constant - \(\sin(a)\): Sine function *Note:* Ensure correct notation for clarity in mathematical expressions.
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