What is the tangent of f(x)=x^2-7,(2,-3) ?

The tangent of f(x)=x^2-7,(2,-3) is y=4x-11

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tangent of f(x)=x^2-7,(2,-3)

tangent of

f (x) = x^{2} - 7, (2, - 3)

y = 4 x - 11

Solution steps

Find the slope of

f (x) = x^{2} - 7 : \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 = 4

Find the line with slope m=

4

and passing through

(2, - 3) : y = 4 x - 11

y = 4 x - 11

What is the tangent of f(x)=x^2-7,(2,-3) ?
The tangent of f(x)=x^2-7,(2,-3) is y=4x-11