Question

Let f(t) = 3t. For a ≠ 0, find f ′(a).

Answer 1

The derivative of f(t) = 3t is f'(t) = 3.

Step-by-step explanation:

To find the derivative of the function f(t) = 3t, we can use the power rule for differentiation.

The power rule states that if we have a function of the form f(t) = at^n, then the derivative is f'(t) = nat^(n-1).

In this case, since n = 1, the derivative of f(t) = 3t is f'(t) = 3(1)t^(1-1) = 3t^0 = 3.