What is the tangent of y=x^2+x+9,\at x=2 ?

The tangent of y=x^2+x+9,\at x=2 is y=5x+5

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tangent of y=x^2+x+9,\at x=2

tangent of

y = x^{2} + x + 9, at x = 2

y = 5 x + 5

Solution steps

Find the tangent point:

(2, 15)

Find the slope of

y = x^{2} + x + 9 : \frac{d y}{d x} = 2 x + 1

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 = 5

Find the line with slope m=

5

and passing through

(2, 15) : y = 5 x + 5

y = 5 x + 5

What is the tangent of y=x^2+x+9,\at x=2 ?
The tangent of y=x^2+x+9,\at x=2 is y=5x+5