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Popular >

monotone f(x)=x^4-25x^2

Solution

monotone intervals

f (x) = x^{4} - 25 x^{2}

Solution

Decreasing : - \infty < x < - \frac{5}{2}, Increasing : - \frac{5}{2} < x < 0, Decreasing : 0 < x < \frac{5}{2}, Increasing : \frac{5}{2} < x < \infty

Solution steps

f^{'} (x) = 4 x^{3} - 50 x

Find intervals:

Decreasing

: - \infty < x < - \frac{5}{2},

Increasing

: - \frac{5}{2} < x < 0,

Decreasing

: 0 < x < \frac{5}{2},

Increasing

: \frac{5}{2} < x < \infty

Decreasing : - \infty < x < - \frac{5}{2}, Increasing : - \frac{5}{2} < x < 0, Decreasing : 0 < x < \frac{5}{2}, Increasing : \frac{5}{2} < x < \infty

Popular Examples

shift-cos(x)shift

- cos (x)

amplitude of f(t)=3cos(4t-(3pi)/4)+2 amplitude

f (t) = 3 cos (4 t - \frac{3 π}{4}) + 2

domain of (x-1)/(x+1)domain

\frac{x - 1}{x + 1}

domain of (x-1)/((x-6)(x+8))domain

\frac{x - 1}{( x - 6 ) ( x + 8 )}

symmetry x^2+6x symmetry

x^{2} + 6 x

Frequently Asked Questions (FAQ)

What is the monotone f(x)=x^4-25x^2 ?
The monotone f(x)=x^4-25x^2 is