AP Calculus BC 2.2: Tangent Lines

Practice AP Calculus BC questions on finding tangent slopes and writing tangent-line equations from derivative and point information.

[Maximum number: 2]

Let f be the function defined by $f(x)=\frac{3}{2 x^{2}-7 x+5}$ .

Find the slope of the line tangent to the graph of f at x=3.

$f^{\prime}(x)=\frac{-3(4 x-7)}{\left(2 x^{2}-7 x+5\right)^{2}}$

f^{\prime}(3)=\frac{(-3)(5)}{(18-21+5)^{2}}=-\frac{15}{4}

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CHA-2.C—Determine the equation of a line tangent to a curve at a given point question 1