What is the tangent of f(x)= 1/(x^6),(3, 1/729) ?

The tangent of f(x)= 1/(x^6),(3, 1/729) is y=-2/729 x+7/729

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tangent of f(x)= 1/(x^6),(3, 1/729)

tangent of

f (x) = \frac{1}{x ^{6}}, (3, \frac{1}{729})

y = - \frac{2}{729} x + \frac{7}{729}

Solution steps

Find the slope of

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

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = - \frac{2}{729}

Find the line with slope m=

- \frac{2}{729}

and passing through

(3, \frac{1}{729}) : y = - \frac{2}{729} x + \frac{7}{729}

y = - \frac{2}{729} x + \frac{7}{729}

n = 1 \sum \infty \frac{n !}{3 ^{n}}

x \to 0 lim (\frac{1 0 ^{x} - 1 1 ^{x}}{x})

\int_{- 2}^{2} (2 - ∣ x ∣) d x

x \to 0 - lim (- 3 x^{2} + 2 x)

\int_{0}^{l} x sin^{2} (\frac{π x}{l}) d x

What is the tangent of f(x)= 1/(x^6),(3, 1/729) ?
The tangent of f(x)= 1/(x^6),(3, 1/729) is y=-2/729 x+7/729