What is the tangent of y=5+5x^2-2x^3,(2,9) ?

The tangent of y=5+5x^2-2x^3,(2,9) is y=-4x+17

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tangent of y=5+5x^2-2x^3,(2,9)

tangent

y = - 4 x + 17

Solution steps

Find the slope of

y = 5 + 5 x^{2} - 2 x^{3} : \frac{d y}{d x} = - 6 x^{2} + 10 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 = - 4

Find the line with slope m=

- 4

and passing through

(2, 9) : y = - 4 x + 17

y = - 4 x + 17

What is the tangent of y=5+5x^2-2x^3,(2,9) ?
The tangent of y=5+5x^2-2x^3,(2,9) is y=-4x+17