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Use the formula below to find the instantaneous rate of change of the function at the given x-value. f(x) = 3x²+ 2x at x = 3 Average and Instantaneous Rate of Change The average rate of change of a function f between x and x + his f(x +h)-f(x) h The instantaneous rate of change of a function f at the number x is f(x +h)-f(x) h lim h-0 (Difference quotient gives the average rate of change.) (Taking the limit makes it instantaneous.)

Use the formula below to find the instantaneous rate of change of the function at the given x-value. f(x) = 3x²+ 2x at x = 3 Average and Instantaneous Rate of Change The average rate of change of a function f between x and x + his f(x +h)-f(x) h The instantaneous rate of change of a function f at the number x is f(x +h)-f(x) h lim h-0 (Difference quotient gives the average rate of change.) (Taking the limit makes it instantaneous.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the formula below to find the instantaneous rate of change of the function at the given x-value. 3x²+2x at x = 3 f(x) = Average and Instantaneous Rate of Change The average rate of change of a function f between x and x + h is f(x + h) − f(x). (Difference quotient gives the average rate of change.) h The instantaneous rate of change of a function f at the number x is f(x + h) - f(x) h lim h→0 X (Taking the limit makes it instantaneous.)
Transcribed Image Text:Use the formula below to find the instantaneous rate of change of the function at the given x-value. 3x²+2x at x = 3 f(x) = Average and Instantaneous Rate of Change The average rate of change of a function f between x and x + h is f(x + h) − f(x). (Difference quotient gives the average rate of change.) h The instantaneous rate of change of a function f at the number x is f(x + h) - f(x) h lim h→0 X (Taking the limit makes it instantaneous.)
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