Calculus - First Derivative

Original Equation: f(x) = e^(-x) - e^(-2x)

Did I take the first derivative correctly?
I seem to get undefined when I isolate for x to determine the extreme values?

f'(x) = -e/ x + 2e/2x
f'(x) = (-2ex + 2ex) / 2x^2

  1. 👍
  2. 👎
  3. 👁
  1. What does e/x represent? e divided by x or e^x ? In either case, I don't agree with your answer.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    Consider the graph of the equation y=ax^2+bx+c, when a does not equal 0. If a is multiplied by 3, what is true of the graph of the resulting parabola? (A) The Vertex is 3 units above the vertex of the original. (B) The new

  2. Calculus

    Both x and y denote functions of t that are related by the given equation. Use this equation and the given derivative information to find the specified derivative. Equation:35x^2+20y^2=1 Given that dx/dt=4, find dy/dt when

  3. Algebra

    Solve the equation. Identify any extraneous solutions. √a=-2 A.4 is a solution of the original equation. B.4 is a solution of the original equation. -4 is an extraneous solution***** C.-4 is a solution of the original equation.

  4. Math (Calculus) (mean value theorem emergency)

    Consider the graph of the function f(x)=x^2-x-12 a) Find the equation of the secant line joining the points (-2,-6) and (4,0). I got the equation of the secant line to be y=x-4 b) Use the Mean Value Theorem to determine a point c

  1. math, correction plz

    Can someone correct these for me.PLZ Problem#1 Directions solve equation ãx+4 = 3 My answer: x = 5 Probelm #2 Directions solve equation ã(4x+1) + 3 = 0 My answer x = 2 Problem #3 Directions solve equation ã(2y+7)+4=y My

  2. Calculus prince@18

    let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x). This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of

  3. Calculus

    We are doing problems with the product and quotient rules, but I'm not sure if I'm doing them correctly. If someone could check my answer I would really appreciate it. The original problem was y = (2x-1)^5 * (4x+1)^-1 and I got

  4. Calculus

    R=M^2(c/2-m/3) dR/dM=CM-M^2 I found the derivative. Now how would I find the vale of M that maximize the derivative dR/dM? set it to zero, and solve for m. You get two solutions. Use the second derivative to see which one is the


    Find the second derivative for the function 5x^3+60x^2-36x-41 and solve the equation F(X)=0 i got to the second derivative but what do we do next to be able to get one of these answers.. F(x) = 5x3+60x2−36x−41 1. derivative of

  2. Calculus?

    1. Find dr/d θ for cosr-cot θ=e^-r θ 2. Find the normal equation to the curve xy +2x-y=0 that are parallel to the line -4x - 2y = 10. I know for this I'd have to find the derivative of the curve given. If I rearrange the

  3. Calculus (Help)

    Also I would like to know how to set this problem up in finding the answer: Find the second derivative. y= sqrt(3x+4) Thanks, P.S. I tried taking 3x+4 and squaring it to the 1/2. I thought that might've been the same, then I took

  4. Math - Simple rational Function (check)

    A pollutant has been leaking steadily into a river. An environmental group undertakes a clean-up of the river. The amount of pollutant in the river after t years the clean-up begins is given by the equation N(t)=0.5t+(1/(10t+1))

You can view more similar questions or ask a new question.