What is the derivative of (2x/5) ?

The derivative of (2x/5) is 2/5

What is the first derivative of (2x/5) ?

The first derivative of (2x/5) is 2/5

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\frac{d}{d x} (\frac{2 x}{5})

\frac{2}{5}

Solution steps

\frac{d}{d x} (\frac{2 x}{5})

Take the constant out:

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

= \frac{2}{5} \frac{d x}{d x}

Apply the common derivative:

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

= \frac{2}{5} \cdot 1

Simplify

= \frac{2}{5}

y^{^{'}} = \frac{( x ^{2} - y ^{2} )}{x y}, y (2) = 5

\frac{d}{d x} ((\frac{3 x sin ( x )}{3 x + 1})^{3})

\frac{d}{d x} (y + x y)

f (x) = 4 sec (x), at (\frac{π}{6})

f (x) = \frac{x - 1}{x + 1}