What is the tangent of f(x)=6x^2,(2,24) ?

The tangent of f(x)=6x^2,(2,24) is y=24x-24

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tangent of f(x)=6x^2,(2,24)

tangent of

f (x) = 6 x^{2}, (2, 24)

y = 24 x - 24

Solution steps

Find the slope of

f (x) = 6 x^{2} : \frac{df ( x )}{d x} = 12 x

Compute the slope of

f (x) = 6 x^{2}

(2, 24) : m = 24

Find the line with slope m=

24

and passing through

(2, 24) : y = 24 x - 24

y = 24 x - 24

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What is the tangent of f(x)=6x^2,(2,24) ?
The tangent of f(x)=6x^2,(2,24) is y=24x-24