What is the tangent of f(t)=3t-t^2,(0,0) ?

The tangent of f(t)=3t-t^2,(0,0) is y=3t

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tangent of f(t)=3t-t^2,(0,0)

tangent of

f (t) = 3 t - t^{2}, (0, 0)

y = 3 t

Solution steps

Find the slope of

f (t) = 3 t - t^{2} : \frac{df ( t )}{d t} = 3 - 2 t

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

(0, 0) : y = 3 t

y = 3 t

What is the tangent of f(t)=3t-t^2,(0,0) ?
The tangent of f(t)=3t-t^2,(0,0) is y=3t