Use the mean value theorem to prove that if the derivative of f(x) is less than or equal to 2 for x> 0 and f(0)=4 then f(x) is less than or equal to 2x+4 for all x greater than or equal to 0.

The proof is given below.

Step-by-step explanation:

Given:

Using Mean Value Theorem,

Here,

Therefore,

Now, as per question the derivative of is less than or equal to 2.

Therefore, . Plug in the value of . This gives,

Therefore, we get, and hence it is proved using mean value theorem.

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6