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

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

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

tangent of

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

y = - x + 1

Solution steps

Find the slope of

f (x) = x^{2} - \frac{1}{x} : \frac{df ( x )}{d x} = 2 x + \frac{1}{x ^{2}}

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 = - 1

Find the line with slope m=

- 1

and passing through

(- 1, 2) : y = - x + 1

y = - x + 1

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