What is the tangent of f(x)=x^2-6,\at x=3 ?

The tangent of f(x)=x^2-6,\at x=3 is y=6x-15

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tangent of f(x)=x^2-6,\at x=3

tangent of

f (x) = x^{2} - 6, at x = 3

y = 6 x - 15

Solution steps

Find the tangent point:

(3, 3)

Find the slope of

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

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 = 6

Find the line with slope m=

6

and passing through

(3, 3) : y = 6 x - 15

y = 6 x - 15

What is the tangent of f(x)=x^2-6,\at x=3 ?
The tangent of f(x)=x^2-6,\at x=3 is y=6x-15