Question
Let f be a differentiable function such that f(4)=7 and f′(4)=15. The graph of f is concave up on the interval (3,5). Which of the following is true about the approximation for f(3.5) found using the line tangent to the graph of f at x=4 ?
Answers
oobleck
since f is concave up on (3,5)
f' is increasing on (3,5)
So, since the tangent line has constant slope, the graph of f will curve up away from the tangent line, making the estimate lower f(x) on the interval.
f' is increasing on (3,5)
So, since the tangent line has constant slope, the graph of f will curve up away from the tangent line, making the estimate lower f(x) on the interval.