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

The tangent of f(x)=-3x^2-2x,\at x=2 is y=-14x+12

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

tangent of

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

y = - 14 x + 12

Solution steps

Find the tangent point:

(2, - 16)

Find the slope of

f (x) = - 3 x^{2} - 2 x : \frac{df ( x )}{d x} = - 6 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 = - 14

Find the line with slope m=

- 14

and passing through

(2, - 16) : y = - 14 x + 12

y = - 14 x + 12

What is the tangent of f(x)=-3x^2-2x,\at x=2 ?
The tangent of f(x)=-3x^2-2x,\at x=2 is y=-14x+12