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geometrical applications of calculus (1 Viewer)

blacktown_

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find all values of x for which the curve f(x) =x^3-3x+4 is decreasing

please help! thanks :)
 

Aysce

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f(x) = x^3 - 3x + 4

For decreasing, f'(x) < 0

Therefore:

3x^2 - 3 < 0

3(x-1)(x+1) < 0

Sketch the graph and find where it is below the y-axis in which the answer should be: -1 < x < 1
 

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