What is the tangent of f(x)= 6/x ,\at x=-7 ?

The tangent of f(x)= 6/x ,\at x=-7 is y=-6/49 x-12/7

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tangent of f(x)= 6/x ,\at x=-7

tangent of

f (x) = \frac{6}{x}, at x = - 7

y = - \frac{6}{49} x - \frac{12}{7}

Solution steps

Find the tangent point:

(- 7, - \frac{6}{7})

Find the slope of

f (x) = \frac{6}{x} : \frac{df ( x )}{d x} = - \frac{6}{x ^{2}}

Compute the slope of

f (x) = \frac{6}{x}

x = - 7 : m = - \frac{6}{49}

Find the line with slope m=

- \frac{6}{49}

and passing through

(- 7, - \frac{6}{7}) : y = - \frac{6}{49} x - \frac{12}{7}

y = - \frac{6}{49} x - \frac{12}{7}

(x^{3} + 4 x + 7) 5 + \frac{1}{x ^{2}}

x \to 7 + lim (\frac{x + 6}{x - 7})

x \to 3 lim (\frac{x - 3}{9 - x ^{2}})

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

x \to 1000 lim (x^{\frac{4}{3}})

What is the tangent of f(x)= 6/x ,\at x=-7 ?
The tangent of f(x)= 6/x ,\at x=-7 is y=-6/49 x-12/7