Apentix/AP Calculus AB/Unit 7: Differential Equations/Question

AP Calculus ABeasymcq1 pt

Which of the following functions satisfies $y' = 2x$ and passes through the point $(1,3)$ ?

A.

y = x^2 + 2

B.

y = x^2 - 2

C.

y = x^2 + 3

D.

y = 2x + 1

Explanation

Core Concept

Differentiating gives $y' = 2x$ , and at $x=1$ the value is $1 + 2 = 3$ , matching the point.

Correct Answer

A $y = x^2 + 2$

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