What is the tangent of f(x)= 1/(x^6),(2, 1/64) ?

The tangent of f(x)= 1/(x^6),(2, 1/64) is y=-3/64 x+7/64

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tangent of f(x)= 1/(x^6),(2, 1/64)

tangent of

f (x) = \frac{1}{x ^{6}}, (2, \frac{1}{64})

y = - \frac{3}{64} x + \frac{7}{64}

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{3}{64}

Find the line with slope m=

- \frac{3}{64}

and passing through

(2, \frac{1}{64}) : y = - \frac{3}{64} x + \frac{7}{64}

y = - \frac{3}{64} x + \frac{7}{64}

y = x^{3} - 2 x + 2

\int x^{4} + cos (3 x) d x

\frac{\partial}{\partial x} (ln (5 x^{2} y^{2}))

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

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 e^{2 x}

What is the tangent of f(x)= 1/(x^6),(2, 1/64) ?
The tangent of f(x)= 1/(x^6),(2, 1/64) is y=-3/64 x+7/64