What is the tangent of f(x)=x^2+3x-1,\at x=-1 ?

The tangent of f(x)=x^2+3x-1,\at x=-1 is y=x-2

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tangent of f(x)=x^2+3x-1,\at x=-1

tangent of

f (x) = x^{2} + 3 x - 1, at x = - 1

y = x - 2

Solution steps

Find the tangent point:

(- 1, - 3)

Find the slope of

f (x) = x^{2} + 3 x - 1 : \frac{df ( x )}{d x} = 2 x + 3

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, - 3) : y = x - 2

y = x - 2

What is the tangent of f(x)=x^2+3x-1,\at x=-1 ?
The tangent of f(x)=x^2+3x-1,\at x=-1 is y=x-2