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

The tangent of f(x)=x^2,\at x=3 is y=6x-9

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

tangent

y = 6 x - 9

Solution steps

Find the tangent point:

(3, 9)

Find the slope of

f (x) = x^{2} : \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, 9) : y = 6 x - 9

y = 6 x - 9

What is the tangent of f(x)=x^2,\at x=3 ?
The tangent of f(x)=x^2,\at x=3 is y=6x-9