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Differentiate the following functions using differentiation rule

Differentiate the following functions using differentiation rule

Calculus: Early Transcendentals
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...
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The image contains two mathematical expressions for a function \( f(x) \): 1. \( f(x) = (3x^2 + 5x)^2 \) This expression represents a quadratic function inside an outer square, which expands to a quartic polynomial when fully distributed. 2. \( f(x) = \frac{3x^2 - 2x + x^{1.2}}{\sqrt[5]{x}} \) This expression features a rational function where the numerator is a polynomial containing a non-integer exponent and the denominator includes a fifth root of \( x \).
Transcribed Image Text:The image contains two mathematical expressions for a function \( f(x) \): 1. \( f(x) = (3x^2 + 5x)^2 \) This expression represents a quadratic function inside an outer square, which expands to a quartic polynomial when fully distributed. 2. \( f(x) = \frac{3x^2 - 2x + x^{1.2}}{\sqrt[5]{x}} \) This expression features a rational function where the numerator is a polynomial containing a non-integer exponent and the denominator includes a fifth root of \( x \).
Differentiate the following functions using differentiation rules.
Transcribed Image Text:Differentiate the following functions using differentiation rules.
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