What is the tangent of f(x)= 1/(x^6),(1,1) ?

The tangent of f(x)= 1/(x^6),(1,1) is y=-6x+7

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tangent of f(x)= 1/(x^6),(1,1)

tangent of

f (x) = \frac{1}{x ^{6}}, (1, 1)

y = - 6 x + 7

Solution steps

Find the slope of

f (x) = \frac{1}{x ^{6}} : \frac{df ( x )}{d x} = - \frac{6}{x ^{7}}

Compute the slope of

f (x) = \frac{1}{x ^{6}}

(1, 1) : m = - 6

Find the line with slope m=

- 6

and passing through

(1, 1) : y = - 6 x + 7

y = - 6 x + 7

\frac{d}{d x} (\frac{1}{4 x ^{3}} - \frac{5}{2 x})

\frac{\partial}{\partial x} (x^{2} + (y - 1)^{2} + z^{2})

x, x^{2.42}, [0.99, 1]

\frac{d}{d x} (\frac{2 x}{x + 8})

y = 5 csc (x) + 6 cos (x)

What is the tangent of f(x)= 1/(x^6),(1,1) ?
The tangent of f(x)= 1/(x^6),(1,1) is y=-6x+7