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Popular >

tangent of f(x)= 1/(x-1),\at x=-4

Solution

tangent of

f (x) = \frac{1}{x - 1}, at x = - 4

Solution

y = - \frac{1}{25} x - \frac{9}{25}

Solution steps

Find the tangent point:

(- 4, - \frac{1}{5})

Find the slope of

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

Compute the slope of

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

at

x = - 4 : m = - \frac{1}{25}

Find the line with slope m=

- \frac{1}{25}

and passing through

(- 4, - \frac{1}{5}) : y = - \frac{1}{25} x - \frac{9}{25}

y = - \frac{1}{25} x - \frac{9}{25}

Popular Examples

y^{^{'}} = (t y^{2} - 1) y

tangent of-2x^2,\at 1 tangent of

- 2 x^{2}, at 1

derivative of e^{x^3+5x}

\frac{d}{d x} (e^{x^{3} + 5 x})

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\int \frac{( sin ^{2} ( x ) )}{cos ( x )} d x

integral of csc(x)cot^2(x)

\int csc (x) cot^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the tangent of f(x)= 1/(x-1),\at x=-4 ?
The tangent of f(x)= 1/(x-1),\at x=-4 is y=-1/25 x-9/25