What is expand (f(x+h)-f(x)h)/h ?

The solution to expand (f(x+h)-f(x)h)/h is (fx)/h+f-fx

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expand (f(x+h)-f(x)h)/h

expand

\frac{f ( x + h ) - f ( x ) h}{h}

\frac{f x}{h} + f - f x

Solution steps

\frac{f ( x + h ) - f ( x ) h}{h}

Remove parentheses:

(a) = a

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

Expand

f (x + h) - f x h : f x + f h - f x h

= \frac{f x + f h - f x h}{h}

Apply the fraction rule:

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

\frac{f x + f h - f x h}{h} = \frac{f x}{h} + \frac{f h}{h} - \frac{f x h}{h}

= \frac{f x}{h} + \frac{f h}{h} - \frac{f x h}{h}

Cancel

\frac{f h}{h} : f

= \frac{f x}{h} + f - \frac{f x h}{h}

Cancel

\frac{f x h}{h} : f x

= \frac{f x}{h} + f - f x

\frac{3 ( h + 1 ) ^{2.5} + 580 h - 3}{10 h}

V (- 1, - 3)

(1 - cos (x)) (sin (x))

(x + 4 i)^{2}

(sin (ln (x)) + cos (ln (x)))^{2}

What is expand (f(x+h)-f(x)h)/h ?
The solution to expand (f(x+h)-f(x)h)/h is (fx)/h+f-fx