What is the tangent of y=x^2-6,(4,10) ?

The tangent of y=x^2-6,(4,10) is y=8x-22

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tangent of y=x^2-6,(4,10)

tangent of

y = x^{2} - 6, (4, 10)

y = 8 x - 22

Solution steps

Find the slope of

y = x^{2} - 6 : \frac{d y}{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 = 8

Find the line with slope m=

8

and passing through

(4, 10) : y = 8 x - 22

y = 8 x - 22

What is the tangent of y=x^2-6,(4,10) ?
The tangent of y=x^2-6,(4,10) is y=8x-22