Let f(x) = 6x2. Find f(3 + h).(3 + h) = 6(3+ h)²%3Df(3 + h) – f(3)Findf(3 + h) – f(3)X Your answer%3DhCompute f'(3) by taking the limit as h → 0.f'(3) =%3D

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Let f(x) = 6x². Find f(3 + h). f(3 + h) = 6(3+ h)² Find (3 + h) – f(3) h f(3 + h) – f(3) h X Your answer

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

Let f(x) = 6x2. Find f(3 + h).
(3 + h) = 6(3+ h)²
%3D
f(3 + h) – f(3)
Find
f(3 + h) – f(3)
X Your answer
%3D
h
Compute f'(3) by taking the limit as h → 0.
f'(3) =
%3D

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