What is the first derivative of x*a ?

The first derivative of x*a is a

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derivative of x*a

\frac{d}{d x} (x \cdot a)

a

Solution steps

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

Take the constant out:

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

= a \frac{d x}{d x}

Apply the common derivative:

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

= a \cdot 1

Simplify

= a

\int \frac{1}{( x ^{2} + 1 ) ^{4}} d x

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\frac{d}{d t} (\frac{3 y ^{2} - t ^{2}}{y ^{5}})

\frac{d}{d x} (ln (\frac{4}{x x + 1}))

(e^{x^{2} - 1})^{^{'}}