What is the tangent of y= 1/(x^4),(1,1) ?

The tangent of y= 1/(x^4),(1,1) is y=-4x+5

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tangent of y= 1/(x^4),(1,1)

tangent of

y = \frac{1}{x ^{4}}, (1, 1)

y = - 4 x + 5

Solution steps

Find the slope of

y = \frac{1}{x ^{4}} : \frac{d y}{d x} = - \frac{4}{x ^{5}}

Compute the slope of

y = \frac{1}{x ^{4}}

(1, 1) : m = - 4

Find the line with slope m=

- 4

and passing through

(1, 1) : y = - 4 x + 5

y = - 4 x + 5

\int \frac{x ^{6}}{( 3 - x ^{7} ) ^{2}} d x

\int \frac{- 6}{( x ^{2} + 6 ) ^{\frac{3}{2}}} d x

x \to 0 + lim ((1 + \frac{2}{x})^{x})

\frac{d}{d x} (1 + 4 x^{3})

\int \frac{1 - 2 x}{x ^{2} - 4} d x

What is the tangent of y= 1/(x^4),(1,1) ?
The tangent of y= 1/(x^4),(1,1) is y=-4x+5