The graph of a differentiable function g exhibits the following tangent lines: • At x = 1
MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity
Problem
The graph of a differentiable function g exhibits the following tangent lines:
• At x = 1, the tangent rises 3 units for every 2 units of run.
• At x = 4, the tangent falls 5 units for every 1 unit of run.
• At x = 6, the tangent is vertical.
State the value or nature (positive, negative, zero, or does not exist) of g′(1), g′(4), and g′(6). Provide each answer on a separate line.