Friday
April 18, 2014

Homework Help: calculus

Posted by Jen on Monday, December 11, 2006 at 4:05pm.

f(x) = x^2
g(x) = e^2x
h(x) = ln(2x)
which function is increasing the fastest when x = 2

How do I do this? TIA

I will assume that g(x) = e^2x = e^(2x) and now e^x * x . It is ambiguous the way you have written it

(1) Differentiate each function to get f'(x), g'(x) and h'(x)
(2) Plug in x = 2 to f', g'and h'
(3) See which is biggest

Example:
f'(x) = 2x f'(2) = 4
g'(x) = 2*e^2x g'(2) = 2*e^4 = 109.1

You finish it

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

math - Express y as a function of x. C is a positive number. 3 ln y= 1/2ln (2x+1...
integration by parts - s- integral s ln (2x+1)dx ? = ln(2x+1)x - s x d( ln (2x+1...
integration by parts - s- integral s ln (2x+1)dx ? = ln(2x+1)x - s x d( ln (2x+1...
Calculus - Differentiate: y=ln(x/(2x+3))^(1/2) y=(1/2)ln(x/(2x+3)) y'=0+(1/2)((...
College Algebra - Here is the whole question... I have figured most of it out ...
Math - exponential function - Find all real numbers that satisfy (6^x)(7^(2x...
Calculus - Evaluate the indefinite integral of InT(-x^3+9x^2-3x+2)/(x^4-2x^3) I ...
Calculus - Evaluate the indefinite integral of InT(-x^3+9x^2-3x+2)/(x^4-2x^3) I ...
Calculus - Evaluate the indefinite integral of InT(-x^3+9x^2-3x+2)/(x^4-2x^3) I ...
Calculus - Find the intervals on which the given function is increasing and ...

Search
Members