What is the first d/(dt)(cos(t)) ?

The first d/(dt)(cos(t)) is -sin(t)

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d/(dt)(cos(t))

\frac{d}{d t} (cos (t))

- sin (t)

Solution steps

\frac{d}{d t} (cos (t))

Apply the common derivative:

\frac{d}{d t} (cos (t)) = - sin (t)

= - sin (t)

\frac{d}{d x} (ln (\frac{5 x + 1}{5 x - 1}))

\frac{d}{d x} (15 x^{2} + 3)

y^{^{''}} + 4 y^{^{'}} + 5 y = 0, y (0) = 1, y^{^{'}} (0) = 0

\int \frac{1}{( 1 + y ^{2} ) arctan ( y )} d y

y = \frac{1}{14 x ^{2}}, y = x, y = \frac{x}{12}