Differentiate the function.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

 please show your derivative by hand and simplify

**Differentiate the Function**

Given function:
\[ f(x) = \left(\frac{2x + 3}{4x - 1}\right)^{-5} \]

Differentiated result:
\[ f'(x) = 5 \]

*Note: The differentiation involves using the chain rule and quotient rule to find the correct derivative of the given function.*
Transcribed Image Text:**Differentiate the Function** Given function: \[ f(x) = \left(\frac{2x + 3}{4x - 1}\right)^{-5} \] Differentiated result: \[ f'(x) = 5 \] *Note: The differentiation involves using the chain rule and quotient rule to find the correct derivative of the given function.*
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