posted by .

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

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

You finish it

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. increasing and decreasing intervals

    Have to find the intervals on which f(x) = 4 - sqrt(x+2) is increasing. Also the intervals on which the function is decreasing. TIA Find the derivative of f(x). When the derivative is positive, the function increases as x increases. …
  2. Calculus

    Find the intervals on which y=1/(x^2+1)^2 is increasing and decreasing. find the first derivative which is -4x/(x^2+1)^3 you should know that if the first derivative is positive, then the function is increasing and if it is negative, …
  3. pre-calculus

    is the function of f(x)=x^2-4x even, odd, or neither?

    For all x in the interval [-11,13] the function f is defined by x^3(x+3)^4 On which two intervals is the function increasing?
  5. Math

    For x [–14,13] the function f is defined by f(x)=(x^3)(x+6)^4 On which two intervals is the function increasing (enter intervals in ascending order)?
  6. Calculus

    find the intervals where the function is increasing and the intervals where it is decreasing f(x)= (x^3/3)-(x^2/2) ok i found its derivative which is (f1(x)=(x-1)x my options are increasing a) (0,infinity) b) (-1,0) c(-infinity,0)U(1,infinity) …
  7. Calculus

    Use any calculus method to determine extrema, intervals where the function is increasing or decreasing, asymptotes,and points of inflection for y = -x^4 + 2x^3 - x + 2
  8. Calculus Homework

    Find the largest region over which the function f is increasing or decreasing, for: f(x):(x-4)/(x+8) f is increasing for x=
  9. calculus

    Find the intervals on the x-axis on which the function f(x) is increasing and those which it is decreasing, where f(x) = (x)/(x^2+1) I differentiated and got f'(x)=(x^2+1) -(x)(2x) all over (x^2+1)^2 But I don't know what to do now...
  10. Math (exam tomorrow)

    For the function f(x)=3cos(2x),what is the first point where it is increasing the fastest?

More Similar Questions