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Popular >

monotone f(x)=x^4+4x^3-48x^2+6

Solution

monotone intervals

f (x) = x^{4} + 4 x^{3} - 48 x^{2} + 6

Solution

Decreasing : - \infty < x < \frac{- 3 - 105}{2}, Increasing : \frac{- 3 - 105}{2} < x < 0, Decreasing : 0 < x < \frac{105 - 3}{2}, Increasing : \frac{105 - 3}{2} < x < \infty

Solution steps

f^{'} (x) = 4 x^{3} + 12 x^{2} - 96 x

Find intervals:

Decreasing

: - \infty < x < \frac{- 3 - 105}{2},

Increasing

: \frac{- 3 - 105}{2} < x < 0,

Decreasing

: 0 < x < \frac{105 - 3}{2},

Increasing

: \frac{105 - 3}{2} < x < \infty

Decreasing : - \infty < x < \frac{- 3 - 105}{2}, Increasing : \frac{- 3 - 105}{2} < x < 0, Decreasing : 0 < x < \frac{105 - 3}{2}, Increasing : \frac{105 - 3}{2} < x < \infty

Popular Examples

symmetry y=2x^2+4x+5 symmetry

y = 2 x^{2} + 4 x + 5

inverse of f(x)=-(x^3)inverse

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

inverse of f(x)=58^{x^3}-3 inverse

f (x) = 5 8^{x^{3}} - 3

inverse of f(x)= 3/2 x+4 inverse

f (x) = \frac{3}{2} x + 4

parallel x+3y=5,(-1,6)parallel

x + 3 y = 5, (- 1, 6)

Frequently Asked Questions (FAQ)

What is the monotone f(x)=x^4+4x^3-48x^2+6 ?
The monotone f(x)=x^4+4x^3-48x^2+6 is