The graph of W = cos 0.2t is as follows:

decibels__6.png

The graph of

math

is given by:

decibels__8.png

We see that the slope is negative, so we expect a negative answer.

Since

math

we have:

math

At t = 1 s, the value of the derivative is -0.176 dB/s (t is in radians, of course).

Our answer is negative, as expected.