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

## Related Questions

- increasing and decreasing intervals - Have to find the intervals on which f(x...
- Calculus Homework - Find the largest region over which the function f is ...
- CALCULUs - For all x in the interval [-11,13] the function f is defined by x^3(x...
- Calculus - find the intervals where the function is increasing and the intervals...
- pre-calculus - is the function of f(x)=x^2-4x even, odd, or neither? oh and on ...
- Calculus - Use any calculus method to determine extrema, intervals where the ...
- Math - For x [–14,13] the function f is defined by f(x)=(x^3)(x+6)^4 On which ...
- Calculus - Find the intervals on which y=1/(x^2+1)^2 is increasing and ...
- calculus - Given f(x)=sin(x)-2cos(x) on the interval [0,2pi]. a) Determine where...
- Calculus.......plz help! =) - Use any calculus method to determine extrema, ...

More Related Questions