What is the extreme (x-7)(x^2-14x-98) ?

The extreme (x-7)(x^2-14x-98) is Maximum(0,686),Minimum(14,-686)

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extreme (x-7)(x^2-14x-98)

extreme points

(x - 7) (x^{2} - 14 x - 98)

Maximum (0, 686), Minimum (14, - 686)

Solution steps

f^{'} (x) = 3 x (- 14 + x)

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 14,

Increasing

: 14 < x < \infty

Plug

x = 0

into

(x - 7) (x^{2} - 14 x - 98) : 686

Maximum (0, 686)

Plug

x = 14

into

(x - 7) (x^{2} - 14 x - 98) : - 686

Minimum (14, - 686)

Maximum (0, 686), Minimum (14, - 686)

y = (4 - x) \cdot 4^{x}

f (x) = 3 + 3 x - 3 x^{2}, 0 \leq x \leq 3

100

f (x) = \frac{1}{x ^{2} + 1}

x^{2} + \frac{405000}{x}

What is the extreme (x-7)(x^2-14x-98) ?
The extreme (x-7)(x^2-14x-98) is Maximum(0,686),Minimum(14,-686)