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

The tangent of f(x)=x^3-2x+2,\at x=3 is y=25x-52

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

tangent of

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

y = 25 x - 52

Solution steps

Find the tangent point:

(3, 23)

Find the slope of

f (x) = x^{3} - 2 x + 2 : \frac{df ( x )}{d x} = 3 x^{2} - 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 = 25

Find the line with slope m=

25

and passing through

(3, 23) : y = 25 x - 52

y = 25 x - 52

What is the tangent of f(x)=x^3-2x+2,\at x=3 ?
The tangent of f(x)=x^3-2x+2,\at x=3 is y=25x-52