What is the d/(dt)(sqrt(2-t)) ?

The d/(dt)(sqrt(2-t)) is -1/(2sqrt(2-t))

What is the first d/(dt)(sqrt(2-t)) ?

The first d/(dt)(sqrt(2-t)) is -1/(2sqrt(2-t))

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\frac{d}{d t} (2 - t)

- \frac{1}{2 2 - t}

Solution steps

\frac{d}{d t} (2 - t)

Apply the chain rule:

\frac{1}{2 2 - t} \frac{d}{d t} (2 - t)

= \frac{1}{2 2 - t} \frac{d}{d t} (2 - t)

\frac{d}{d t} (2 - t) = - 1

= \frac{1}{2 2 - t} (- 1)

Simplify

= - \frac{1}{2 2 - t}

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

\frac{d y}{d x} = \frac{3}{2 x ^{5}}

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

\int \frac{7}{x ( x ^{4} + 8 )} d x

\frac{d}{d x} (\frac{x ^{2} + 1}{x ^{2} + 1})

What is the d/(dt)(sqrt(2-t)) ?
The d/(dt)(sqrt(2-t)) is -1/(2sqrt(2-t))
What is the first d/(dt)(sqrt(2-t)) ?
The first d/(dt)(sqrt(2-t)) is -1/(2sqrt(2-t))