What is f'(x)((x))/(f(x)(x)^2)(x) ?

The solution to f'(x)((x))/(f(x)(x)^2)(x) is (f'(x))/(f(x))

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simplify f'(x)((x))/(f(x)(x)^2)(x)

simplify

f^{'} (x) \frac{( x )}{f ( x ) ( x ) ^{2}} (x)

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

Solution steps

f^{'} (x) \frac{x}{f ( x ) x ^{2}} (x)

Remove parentheses:

(a) = a

= f^{^{'}} (x) \frac{x}{f ( x ) x ^{2}} x

\frac{x}{f ( x ) x ^{2}} = \frac{1}{x f ( x )}

= \frac{1}{x f ( x )} x f^{^{'}} (x)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 f ^{^{'}} ( x ) x}{x f ( x )}

Cancel the common factor:

x

= \frac{1 f ^{^{'}} ( x )}{f ( x )}

Multiply:

1 f^{'} (x) = f^{'} (x)

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

1 - x - x + 5

3 x^{\frac{1}{6}} \cdot 3 x^{\frac{7}{6}}

5 x + 6 - 4 x^{2} + 3 x

5 x - 7 y + 8 - y + 6 - 4 x^{9} - 3 x + 8 y

(2 a + 3 b - 5 c + 7 d)^{2} - (2 a - 3 b + 5 c - 7 d)^{2}

What is f'(x)((x))/(f(x)(x)^2)(x) ?
The solution to f'(x)((x))/(f(x)(x)^2)(x) is (f'(x))/(f(x))