Question
Mathematics Question on Differential equations
A function f(x) is a differentiable for all x∈[1,2] such that ∣f′(x)∣<2 . Which of the following options can be true ?
A
f(1)=9,f(2)=13
B
f(1)=4,f(2)=6
C
f(1)=−3,f(2)=−2
D
f(1)=−7,f(2)=−10
Answer
f(1)=−3,f(2)=−2
Explanation
Solution
$\left|f' \left(x\right)\right|