Posted by **Anonymous** on Saturday, January 17, 2009 at 1:21pm.

Please check if my answers are correct! Thank you.

Differentiate f(t) = √(36 ln(t) + 5t)

f'(t) = (1/2) * (36 ln(t) + 5t)^-1/2 * (36/t + 5)

f'(t) = (1/2)* (36/t + 5)/((36 ln(t) + 5t)^1/2

f'(t) = (36 + 5t) / (2t √(36lnt + 5t))

-----

Find the largest & smallest values of:

F(x) 10e^(g(x)), g(x) = x² - 24x for 0 ≤ x ≤ 13

g'(x) = 2x - 24

0 = 2x - 24

x = 12

g(12) = -144

g(0) = 0

g(13) = -143

Largest value: 10

Smallest value: e^(-144)

## Answer This Question

## Related Questions

- math - How would I come about to the solution and what the answers to the ...
- Algebra - 1. Simplify the expression: 4√18+5√32 A.45√2 B.32&#...
- math - I just want to see if my answers are correct and if no, can you please ...
- math - I just want to see if my answers are correct and if no, can you please ...
- 8th grade algebra - Can you check my answers? 1. 3√20/√4 = 3√(...
- Math help Ms. Sue please - 1. What is the simplified form of the expression? 7m^...
- Calculus - please check my work - Differentiate each function a) y = -3x^2 + 5x...
- Algebra 2 - Can someone help me with this radical expression please? The problem...
- Math - Can someone please check my answers below for accurateness? The ...
- Math - I need someone to check my homework answers. I don't really know this ...

More Related Questions