What is the extreme f(x)=-4x^4+3x^2-15x+5 ?

The extreme f(x)=-4x^4+3x^2-15x+5 is Maximum(-1.10580…,19.27448…)

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extreme f(x)=-4x^4+3x^2-15x+5

extreme

Maximum (- 1.10580 \dots, 19.27448 \dots)

Solution steps

Find the critical points:

x \approx - 1.10580 \dots

Domain of

- 4 x^{4} + 3 x^{2} - 15 x + 5 : - \infty < x < \infty

Find intervals:

Increasing

: - \infty < x < - 1.10580 \dots,

Decreasing

: - 1.10580 \dots < x < \infty

Plug the extreme point

x = - 1.10580 \dots

into

- 4 x^{4} + 3 x^{2} - 15 x + 5 \Rightarrow y = 19.27448 \dots

Maximum (- 1.10580 \dots, 19.27448 \dots)

What is the extreme f(x)=-4x^4+3x^2-15x+5 ?
The extreme f(x)=-4x^4+3x^2-15x+5 is Maximum(-1.10580…,19.27448…)