iran-konkur 2021 Q124

iran-konkur · Other · konkur-riazi_1400_specialized Tangents, normals and gradients Find tangent line with a specified slope or from an external point
124. Suppose $A$ and $B$ are the extreme points of $f(x) = 2x^3 - 3x^2 - 12x + 1$. How many points on the curve $f$ have a tangent line parallel to line $AB$?
(1) zero (2) $1$ (3) $2$ (4) $3$
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\textbf{124.} Suppose $A$ and $B$ are the extreme points of $f(x) = 2x^3 - 3x^2 - 12x + 1$. How many points on the curve $f$ have a tangent line parallel to line $AB$?

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(1) zero \hfill (2) $1$ \hfill (3) $2$ \hfill (4) $3$



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