Math  Exponential
posted by Anonymous .
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)
Respond to this Question
Similar Questions

math
How would I come about to the solution and what the answers to the question so I can help my son with his school work? 
Calculus  please check my work
Differentiate each function a) y = 3x^2 + 5x  4 b) f(x) = 6/x  3/(x^2) c) f(x) = (3x^2  4x)(x^3 + 1) the answers i got for each was: a) y'= 6x + 5 b) f'(x)= 6/x^2 + 6/x^3 c) f'(x)= 15x^4 + 6x  16x^3  4 please double check and … 
Math help Ms. Sue please
1. What is the simplified form of the expression? 
math
I just want to see if my answers are correct and if no, can you please show your work and explain how to do it? 
math
I just want to see if my answers are correct and if no, can you please show your work and explain how to do it? 
Algebra 2
Can someone help me with this radical expression please? 
8th grade algebra
Can you check my answers? 1. 3√20/√4 = 3√(5)(4)/2 = 3(2)√5/2 = 3√5 2. 4√15/√9 = 4√15/3 3. √12/√16 = √4(3)/4 = 2√3/4 = √3/2 4. √10/√5 = √2 
Algebra
1. Simplify the expression: 4√18+5√32 A.45√2 B.32√2 C.116√2 D.9√50 2. Simplify the expression: 7√53√80 A.5√5 B.4√75 C.5 D.4√75 3. Simplify the expression: √21(√3+√14) … 
Algebra
1.Simplify the radical expression. √5+6√√5 A.5√5 B.7√10 C.7√5 D.5√10 2.Simplify the radical expression. 2√6+3√96 A.14√6 B.14√96 C.5√96 D.50√6 3.Simplify … 
Algebra  Check My Work
For Question 18 Simplify the Radical Expression ***  My Answer 1.√45 3√5*** 2.√180x^2 6x√5*** 3.√150x^3 k^4 5xk^2√6x*** 4.√21y * 5√49y 35y√21*** 5.(The square root sign applies …