extreme-4.9t^2+283t+353

解答

极值点

- 4.9 t^{2} + 283 t + 353

极大值 (\frac{1415}{49}, 4439.17346 \dots)

求解步骤

f^{'} (t) = - 9.8 t + 283

Find intervals:

递增

: - \infty < t < \frac{1415}{49},

递减

: \frac{1415}{49} < t < \infty

将

t = \frac{1415}{49}

代入

- 4.9 t^{2} + 283 t + 353 : 4439.17346 \dots

极大值 (\frac{1415}{49}, 4439.17346 \dots)

e x t re m e y = 0 (x + 0) (x + (- 8))

e x t re m e f (x) = x (10 - 2 x) (12 - 2 x)

e x t re m e f (x) = (x - 2) (x + 5) (x + 2)

e x t re m e f (x) = x^{3} - 75 x + 7

e x t re m e f (x) = x ln (x) - x