What is the tangent of f(x)= 1/x ,\at x=1.5 ?

The tangent of f(x)= 1/x ,\at x=1.5 is y=-0.44444…x+1.33333…

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tangent of f(x)= 1/x ,\at x=1.5

tangent of

f (x) = \frac{1}{x}, at x = 1.5

y = - 0.44444 \dots x + 1.33333 \dots

Solution steps

Find the tangent point:

(1.5, \frac{1}{1.5})

Find the slope of

f (x) = \frac{1}{x} : \frac{df ( x )}{d x} = - \frac{1}{x ^{2}}

Compute the slope of

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

x = 1.5 : m = - 0.44444 \dots

Find the line with slope m=

- 0.44444 \dots

and passing through

(1.5, \frac{1}{1.5}) : y = - 0.44444 \dots x + 1.33333 \dots

y = - 0.44444 \dots x + 1.33333 \dots

\int \frac{x ( x - 2 )}{( x - 1 ) ^{3}} d x

\int_{0}^{5} x \frac{2}{95} (12 - x) d x

\frac{d}{d x} (\frac{x}{1 + x ^{2}})

\frac{d}{d x} (\frac{4}{5} x^{10})

y = \frac{8}{x}, (16, \frac{8}{4})

What is the tangent of f(x)= 1/x ,\at x=1.5 ?
The tangent of f(x)= 1/x ,\at x=1.5 is y=-0.44444…x+1.33333…