Question

use calculus in order to determine the value t1 at which the maximum for the following function will occur. determine the maximum value f(t1), when alpha=5. F(t)= 10e^-2t - 10e^-at

Answer 1

So the local maximum of the function is when the derivative is equal to zero and the second derivative is negative. So take the derivative and set that equal to zero, plug in 5 for a, then solve for t. Then make sure it is a max, not a min or neither by using the second derivative test.