consider the following function

[Please_help]

f (x)  =  9e x2 − 10x, 0  ≤  x  ≤  6

a) Find the smallest value of  f (x) on the given interval.

b) Find the largest value of  f (x) on the given interval.

Find the largest value of  f (x) on the given interval.

 

[tkhunny]

f (x)  =  9e x2 − 10x, 0  ≤  x  ≤  6

a) Find the smallest value of  f (x) on the given interval.

b) Find the largest value of  f (x) on the given interval.

Find the largest value of  f (x) on the given interval.

#1 - It is very hard to read the definition of f(x). In today's world, it's really not optional to learn a little LaTeX. Just a little. I usually just code it by hand. There are fancier ways.

Is it \(\displaystyle f(x) = 9e^{x^{2}} - 10x\)? Coded as [ t e x ] f ( x ) = 9 e ^ { x ^ { 2 } } - 1 0 x [ / t e x ]

#2 - What's the idea concerning how to use the 1st Derivative to accomplish what you have been asked to do?

#3 - The 1st Derivative knows nothing of endpoints. Check those separately before you think you are done.

 

[HallsofIvy]

WITOUT Latex, it would have been clearer if you had written "e^(x^2)".