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

The tangent of 9x^2,\at x=2 is y=36x-36

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

tangent of

9 x^{2}, at x = 2

y = 36 x - 36

Solution steps

Find the tangent point:

(2, 36)

Find the slope of

y = 9 x^{2} : \frac{d y}{d x} = 18 x

Compute the slope of

y = 9 x^{2}

x = 2 : m = 36

Find the line with slope m=

36

and passing through

(2, 36) : y = 36 x - 36

y = 36 x - 36

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