Let $f$ be a differentiable function such that $f(3) = 8$ and $f'(3) = -2$. Which of the following is the best approximation of $f(3.1)$ using local linearity?

Question

Accepted Answer

q3_a

Let $f$ be a differentiable function such that $f(3) = 8$ and $f'(3) = -2$ . Which of the following is the best approximation of $f(3.1)$ using local linearity?

Explanation

Core Concept

Correct Answer

Let fff be a differentiable function such that f(3)=8f(3) = 8f(3)=8 and f′(3)=−2f'(3) = -2f′(3)=−2. Which of the following is the best approximation of f(3.1)f(3.1)f(3.1) using local linearity?

Explanation

Core Concept

Correct Answer

Let $f$ be a differentiable function such that $f(3) = 8$ and $f'(3) = -2$ . Which of the following is the best approximation of $f(3.1)$ using local linearity?