Question

Find the relative extrema for the following function. f(x) = 3x - x^3

          Find the relative extrema for the following function.
f(x) = 3x - x^3
        
Find the relative extrema for the following function.
f(x) = 3x - x^3

Added by Benjamin R.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find the relative extrema for the following function. f(x)=3x-x^(3) Find the relative extrema for the following function f(x=3x-3
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Transcript

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00:01 In this question we are to identify the absolute extremer and relative extremer for the following function f x is equal to cos of x now we know that our extremer okay at f prime of x the first derivative is equal to zero so here we find the first derivative of cause of x is negative sign of x and equating this to 0, we're going to divide this as by minus 1.
00:36 We get sine x is equal to 0, and x is equal to the x sine of 0.
00:45 And we get our x as 0 or n pi, where n is any integer, any whole number.
00:58 Now let's say any integer because it's an integer...
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