The locally linear approximation of the differentiable function f at x=2 is used to approximate the value of f(2.3). The approxi

Question

2 years ago

7

The locally linear approximation of the differentiable function f at x=2 is used to approximate the value of f(2.3). The approxi

mation at x=2.3 is an underestimate of the corresponding function value at x=2.3. Which of the following could be the graph of f?

Mathematics

1 answer:

Mekhanik [1.2K] · Answer 1 · 2022-08-17T18:29:05+03:00

Mekhanik [1.2K]2 years ago

8 0

9514 1404 393

Answer:

D

Step-by-step explanation:

If the actual value is above the value estimated from the tangent to the curve, then the curve must have a positive second derivative: it curves upward.

Only curve D in the second attachment has upward curvature.