What is the diffquot f=((f(x+h)-f))/h ?

The diffquot f=((f(x+h)-f))/h is f/h

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Evaluate the Difference Quotient (f(x+h)-f(x))/h , f(x)=3/(x^2)

difference quotient

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

\frac{f}{h}

Solution steps

The difference quotient of

f (x)

is given by

\frac{f ( x + 0 ˘ 394 ) - f ( x )}{0 ˘ 394}

Substitute

x

with

x + \overset{˘}{0} 394

f (x + \overset{˘}{0} 394) = \frac{( f ( ( x + 0 ˘ 394 ) + h ) - f )}{h}

= \frac{\frac{( f ( ( x + 0 ˘ 394 ) + h ) - f )}{h} - \frac{( f ( x + h ) - f )}{h}}{0 ˘ 394}

Simplify

\frac{\frac{( f ( ( x + 0 ˘ 394 ) + h ) - f )}{h} - \frac{( f ( x + h ) - f )}{h}}{0 ˘ 394} : \frac{f}{h}

= \frac{f}{h}

\frac{f}{h}