Derivative (d)is the instantaneous rate of change or the rate at a particular instant of a function with respect to a variable. The formula for the "derivative of a term x'n with respect to x' or d/dx (x^n) = (nXxPn-1. So if n=2, the derivative is 2x(2-1) or simply 2x. Supposed the given expression is r^3 - 3 r^2, then d/dr (r*3-3r^2), with r=3 = 3r^(3-1)- 3(2)rY2-1) = 3r^2 - 6r = 3(a.)^2 - 6b.) = C.
Derivative (d)is the instantaneous rate of change or the rate at a particular instant of a function with respect to a variable. The formula for the "derivative of a term x'n with respect to x' or d/dx (x^n) = (nXxPn-1. So if n=2, the derivative is 2x(2-1) or simply 2x. Supposed the given expression is r^3 - 3 r^2, then d/dr (r*3-3r^2), with r=3 = 3r^(3-1)- 3(2)rY2-1) = 3r^2 - 6r = 3(a.)^2 - 6b.) = C.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 1SE: Can the average rate of change of a function be constant?
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a =?
b = ?
c = ?
Transcribed Image Text:Derivative (d) is the instantaneous rate of change or the rate at a particular instant of a function with
respect to a variable. The formula for the 'derivative of a term x'n with respect to x' or
d/dx (x^n) = (nXxPn-1. So if n=2, the derivative is 2x(2-1) or simply 2x.
Supposed the given expression is r^3 - 3 r^2, then
d/dr (r*3 - 3 r^2), with r=3
= 3r(3-1) - 3(2)rY2-1)
= 3r^2 - 6r
= 3(a.^2 - 6(b.)
= C.
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