What is the extreme f(x)=-x^4-17x^3-106x^2-290x-293 ?

The extreme f(x)=-x^4-17x^3-106x^2-290x-293 is Maximum(-5.58193…,8.86512…)

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extreme f(x)=-x^4-17x^3-106x^2-290x-293

extreme points

f (x) = - x^{4} - 17 x^{3} - 106 x^{2} - 290 x - 293

Maximum (- 5.58193 \dots, 8.86512 \dots)

Solution steps

Find the critical points:

x = - 5.58193 \dots

Domain of

- x^{4} - 17 x^{3} - 106 x^{2} - 290 x - 293 : - \infty < x < \infty

Find intervals:

Increasing

: - \infty < x < - 5.58193 \dots,

Decreasing

: - 5.58193 \dots < x < \infty

Plug the extreme point

x = - 5.58193 \dots

into

- x^{4} - 17 x^{3} - 106 x^{2} - 290 x - 293 \Rightarrow y = 8.86512 \dots

Maximum (- 5.58193 \dots, 8.86512 \dots)

f (x) = sin (4 x), - \frac{π}{6} \leq x \leq \frac{π}{4}

f (x) = e^{x^{3} - 6 x^{2}}

p (a, c) = a + 2 + c

f (x) = 40 e^{2 x} - 5 e^{x}

f (x) = x + \frac{49}{x}, 2 \leq x \leq 12

What is the extreme f(x)=-x^4-17x^3-106x^2-290x-293 ?
The extreme f(x)=-x^4-17x^3-106x^2-290x-293 is Maximum(-5.58193…,8.86512…)