What is the extreme x^3+6x^2-63x+10 ?

The extreme x^3+6x^2-63x+10 is Maximum(-7,402),Minimum(3,-98)

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extreme x^3+6x^2-63x+10

extreme points

x^{3} + 6 x^{2} - 63 x + 10

Maximum (- 7, 402), Minimum (3, - 98)

Solution steps

f^{'} (x) = 3 x^{2} + 12 x - 63

Find intervals:

Increasing

: - \infty < x < - 7,

Decreasing

: - 7 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 7

into

x^{3} + 6 x^{2} - 63 x + 10 : 402

Maximum (- 7, 402)

Plug

x = 3

into

x^{3} + 6 x^{2} - 63 x + 10 : - 98

Minimum (3, - 98)

Maximum (- 7, 402), Minimum (3, - 98)

f (x, y) = x^{2} + y^{2} + 10 x - 10 y + 5

f (x) = 2 x y - x^{3} - y^{2}

f (x) = x - sin (2 x), (- 1, 3)

f (x) = \frac{3}{x ^{2} - 4 x - 5}

x^{3} + 27 x

What is the extreme x^3+6x^2-63x+10 ?
The extreme x^3+6x^2-63x+10 is Maximum(-7,402),Minimum(3,-98)