AP Calculus BC 4.5 Related Rates Overview

Translate changing geometric or physical quantities into equations, differentiate with respect to time and interpret the resulting rate.

Exam points

identify the governing calculus relationship in the problem
justify the result with symbolic, graphical or contextual evidence

Covered syllabus points

CHA-3.E—Interpret related rates in applied contexts

[Maximum number: 1]

A point moves along the curve $y=x^{2}+1$ so that the x-coordinate is increasing at the constant rate of $\frac{3}{2}$ units per second. The rate, in units per second, at which the distance from the origin is changing when the point has coordinates (1,2) is equal to

$\frac{7 \sqrt{5}}{10}$

$\frac{3 \sqrt{5}}{2}$

$\frac{3 \sqrt{5}}{5}$

$\frac{5}{2}$

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Covered syllabus points

4.5 Solving Related Rates Problems question 1