A mutual fund is currently valued at $80 per share and its value per share is increasing at a rate of $0.40 a day. Let V=f(t) be the value of the share t days from now.

Express the information given about the mutual fund in terms of f ' (derivitive of f)

Question

A mutual fund is currently valued at $80 per share and its value per share is increasing at a rate of $0.40 a day. Let V=f(t)  be the value of the share t  days from now.

Express the information given about the mutual fund in terms of f ' (derivitive of f)

anonymous · Answer

The original function would be:$$f(t) = 0.4t + 80$$So the derivative would be:$$f'(t) = 0.4$$

anonymous · Answer

f'(t) is always the same value (0.4) because the *rate* at which the value increases is constant