Use linear approximation to estimate using the tangent line to at .

Answer and explanation

Correct answer: B.

  1. Step 1: The linear approximation formula is .
  2. Step 2: Here , , so .
  3. Step 3: Derivative: , so .
  4. Step 4: Substitute : .
Answer
.
Why not the others: '3.050' divides 0.2 by 4; '3.020' computes ; '3.067' multiplies by instead of .

Practise more Differentiation.

Free questions with an explanation for every one, and full timed AP (Advanced Placement) mock tests.