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AP Calculus BC 2.7: Derivatives of Familiar Functions

Practise AP Calculus BC 2.7 questions by differentiating logarithmic functions and evaluating each derivative to find a tangent-line slope at a given point.

Syllabus
Effective Fall 2025
Course
AP Calculus BC

Exam points

  • Differentiate logarithmic functions, then evaluate the derivative to find a tangent-line slope at a given x-value.

FUN-3.A—Calculate derivatives of familiar functions—Topic 2.7 question 1

[Maximum number: 1]

The slope of the line tangent to the graph of y=ln(1x)y=\ln (1-x) at x=-1 is

A

-1

B

12-\frac{1}{2}

C

12\frac{1}{2}

D

ln2\ln 2

E

1

Table for Question FUN-3.A—Calculate derivatives of familiar functions—Topic 2.7 question 1 — AP Calculus BC
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