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Popular >

Find the Difference Quotient f(x)=1/x

Solution

difference quotient

f = \frac{1}{x}

Solution

- \frac{1}{x ( x + h )}

Solution steps

The difference quotient of

f (x)

is given by

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

Substitute

x

with

x + h

f (x + h) = \frac{1}{( x + h )}

= \frac{\frac{1}{( x + h )} - \frac{1}{x}}{h}

Simplify

\frac{\frac{1}{( x + h )} - \frac{1}{x}}{h} : - \frac{1}{x ( x + h )}

= - \frac{1}{x ( x + h )}

- \frac{1}{x ( x + h )}

Popular Examples

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\frac{d}{d x} f (x) = e^{- a x}

Find the Derivative - d/dx y = square root of cos(2x)

\frac{d}{d x} y = cos (2 x)

Find the Slope y=1/2x-4 slope

y = \frac{1}{2 x - 4}

Evaluate the Integral integral of 1/(1-sin(x)) with respect to x

\int (\frac{1}{( 1 - sin ( x ) )}) d x

Find the Derivative - d/dx y=8^x

\frac{d}{d x} y = 8^{x}

Frequently Asked Questions (FAQ)

What is the diffquot f= 1/x ?
The diffquot f= 1/x is -1/(x(x+h))