What is the first derivative of x/t ?

The first derivative of x/t is 1/t

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derivative of x/t

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

\frac{1}{t}

Solution steps

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

Treat

t

as a constant

Take the constant out:

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

= \frac{1}{t} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= \frac{1}{t} \cdot 1

Simplify

= \frac{1}{t}

5 \to 1 lim (\frac{\frac{1}{5}}{5 - 1})

y = \frac{8}{x}, y = 2 x, x = 4

\frac{d}{d x} ((3 x^{2} - 5 x)^{9} (- 2 x^{4} + 2 x - 8)^{4})

\frac{d ^{2} y}{d x ^{2}} = k

\frac{d}{d x} (\frac{5 x ^{2}}{x + 47})