What is the extreme f(x)=-(5x^4)/4-(4x^3)/3-4 ?

The extreme f(x)=-(5x^4)/4-(4x^3)/3-4 is Maximum(-4/5 ,-1436/375),Saddle(0,-4)

Popular >

extreme f(x)=-(5x^4)/4-(4x^3)/3-4

extreme points

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

Maximum (- \frac{4}{5}, - \frac{1436}{375}), Saddle (0, - 4)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - \frac{4}{5},

Decreasing

: - \frac{4}{5} < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = - \frac{4}{5}

into

- \frac{5 x ^{4}}{4} - \frac{4 x ^{3}}{3} - 4 : - \frac{1436}{375}

Maximum (- \frac{4}{5}, - \frac{1436}{375})

Plug

x = 0

into

- \frac{5 x ^{4}}{4} - \frac{4 x ^{3}}{3} - 4 : - 4

Saddle (0, - 4)

Maximum (- \frac{4}{5}, - \frac{1436}{375}), Saddle (0, - 4)

f (x) = 4 (z^{- x}) + 1

y = 15 x e^{- x}

f (x) = x^{2} + 6

f (x) = 6 x^{2} + 1 - x, 0 \leq x \leq 3

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

What is the extreme f(x)=-(5x^4)/4-(4x^3)/3-4 ?
The extreme f(x)=-(5x^4)/4-(4x^3)/3-4 is Maximum(-4/5 ,-1436/375),Saddle(0,-4)