calculus

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Last updated 3:49 AM on 8/9/26
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7 Terms

1
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if y increases as x increases

dy/dx will be positive

2
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if y decreases as x increases

dy/dx will be negative

3
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x= -b/2a

vertex of a parabola

4
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dy/dx= 0

local maxima, local minima or stationary inflection

<p>local maxima, local minima or stationary inflection</p>
5
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y=f’(a)(x-a) + f(a)

equation of the point with x-coordinate a

6
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-1/f’(a)

gradient of the normal at x=a

7
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y=-1/f’(a) (x-a) + f(a)

equation of the normal to the curve at x=a