What is the d/(d{x)}(({f}(x))(ln({x}{y}))) ?

The d/(d{x)}(({f}(x))(ln({x}{y}))) is ({f}(x))/({x)}

What is the first d/(d{x)}(({f}(x))(ln({x}{y}))) ?

The first d/(d{x)}(({f}(x))(ln({x}{y}))) is ({f}(x))/({x)}

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\frac{d}{d x} ((f (x)) (ln (x y)))

\frac{f ( x )}{x}

Solution steps

\frac{d}{d x} ((f (x)) (ln (x y)))

Take the constant out:

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

= f (x) \frac{d}{d x} (ln (x y))

Apply the chain rule:

\frac{1}{x y} \frac{d}{d x} (x y)

= \frac{1}{x y} \frac{d}{d x} (x y)

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

= f (x) \frac{1}{x y} y

Simplify

f (x) \frac{1}{x y} y : \frac{f ( x )}{x}

= \frac{f ( x )}{x}

3 (pq)

x 2 - 7 x + 18

C (9.3)

(30 + 5)^{2}

5^{x + 1} + 4 \cdot 5^{x}

What is the d/(d{x)}(({f}(x))(ln({x}{y}))) ?
The d/(d{x)}(({f}(x))(ln({x}{y}))) is ({f}(x))/({x)}
What is the first d/(d{x)}(({f}(x))(ln({x}{y}))) ?
The first d/(d{x)}(({f}(x))(ln({x}{y}))) is ({f}(x))/({x)}