Let f(x)=e^(5x)−kx, for k0. Using a calculator or computer, sketch the graph of f for k=1/9,1/6,1/3,1/2,1,2,4. Describe what happens as k changes. f(x) has a local minimum. Find the location of the minimum.

Question

Let f(x)=e^(5x)−kx, for k>0. Using a calculator or computer, sketch the graph of f for k=1/9,1/6,1/3,1/2,1,2,4. Describe what happens as k changes. f(x) has a local minimum. Find the location of the minimum.

anonymous · Answer

I actually need help with finding the find the y-coordinate of the minimum. Any suggestions on how I should do that??

dumbcow · Answer

if this is calculus class then set derivative equal to 0
solve for x in terms of k
plug that back in to get y_coord of min