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

The tangent of x^3+x^2-x-3,\at x=-2 is y=7x+9

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tangent of x^3+x^2-x-3,\at x=-2

tangent of

x^{3} + x^{2} - x - 3, at x = - 2

y = 7 x + 9

Solution steps

Find the tangent point:

(- 2, - 5)

Find the slope of

y = x^{3} + x^{2} - x - 3 : \frac{d y}{d x} = 3 x^{2} + 2 x - 1

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 = 7

Find the line with slope m=

7

and passing through

(- 2, - 5) : y = 7 x + 9

y = 7 x + 9

What is the tangent of x^3+x^2-x-3,\at x=-2 ?
The tangent of x^3+x^2-x-3,\at x=-2 is y=7x+9