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Popular >

tangent of f(x)= 1/(x-8),(-1,-1/9)

Solution

tangent of

f (x) = \frac{1}{x - 8}, (- 1, - \frac{1}{9})

Solution

y = - \frac{1}{81} x - \frac{10}{81}

Solution steps

Find the slope of

f (x) = \frac{1}{x - 8} : \frac{df ( x )}{d x} = - \frac{1}{( x - 8 ) ^{2}}

Compute the slope of

f (x) = \frac{1}{x - 8}

at

(- 1, - \frac{1}{9}) : m = - \frac{1}{81}

Find the line with slope m=

- \frac{1}{81}

and passing through

(- 1, - \frac{1}{9}) : y = - \frac{1}{81} x - \frac{10}{81}

y = - \frac{1}{81} x - \frac{10}{81}

Popular Examples

derivative of e^{-3x}cos(2x)

\frac{d}{d x} (e^{- 3 x} cos (2 x))

integral of 9/(25+16r^2)

\int \frac{9}{25 + 16 r ^{2}} d r

integral of sqrt(1+4r^2)*r

\int 1 + 4 r^{2} \cdot r d r

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\frac{d}{d x} ([x + (x + sin^{2} (x))^{7}]^{5})

(dy)/(dx)+1/x y=10x^2

\frac{d y}{d x} + \frac{1}{x} y = 10 x^{2}

Frequently Asked Questions (FAQ)

What is the tangent of f(x)= 1/(x-8),(-1,-1/9) ?
The tangent of f(x)= 1/(x-8),(-1,-1/9) is y=-1/81 x-10/81