Question

Consider the following initial-value problem: - y = 1, y(0) = 0. Find „’f(t) for f(t) = 1. Write your answer as a function of s.

Answer 1

The derivative of f(t) = 1 is 0.

Step-by-step explanation:

To find the derivative of f(t) = 1, we can apply the power rule for differentiation. The power rule states that if we have a constant, c, raised to the power of t, the derivative is given by multiplying the constant by the natural logarithm of the base. In this case, since f(t) = 1, the derivative of f(t) with respect to t is 0.

So, the function f(t) does not change with respect to time, and its derivative is 0.

Therefore, the function you are looking for can be written as f'(t) = 0, which means that the derivative of f(t) with respect to t is always 0.