What is the first d/(dt)(-sin(t)) ?

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

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d/(dt)(-sin(t))

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

- cos (t)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

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

= - cos (t)

f (x) = \frac{1}{1 x}, at x = 9

x \to 4 lim (\frac{2 x + 3}{9 x + 7})

\int_{0}^{1} \frac{1}{x ^{2} - 3 x + 2} d x

\int_{- 2}^{4} (10 + 4 x - 3 x^{3}) d x

f (x) = x^{3} - 3 x + 1, at x = 3