Use linear approximation to estimate using the tangent line to at .
Answer and explanation
Correct answer: B.
- Step 1: The linear approximation formula is .
- Step 2: Here , , so .
- Step 3: Derivative: , so .
- 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.