What is the tangent of y=3x^2-x^3,(1,2) ?

The tangent of y=3x^2-x^3,(1,2) is y=3x-1

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tangent of y=3x^2-x^3,(1,2)

tangent of

y = 3 x^{2} - x^{3}, (1, 2)

y = 3 x - 1

Solution steps

Find the slope of

y = 3 x^{2} - x^{3} : \frac{d y}{d x} = 6 x - 3 x^{2}

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 = 3

Find the line with slope m=

3

and passing through

(1, 2) : y = 3 x - 1

y = 3 x - 1

What is the tangent of y=3x^2-x^3,(1,2) ?
The tangent of y=3x^2-x^3,(1,2) is y=3x-1