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Popular Functions >

extreme 21x^5+35x^4

Solution

extreme

Solution

Maximum (- \frac{4}{3}, \frac{1792}{81}), Minimum (0, 0)

Solution steps

f^{'} (x) = 105 x^{4} + 140 x^{3}

Find intervals:

Increasing

: - \infty < x < - \frac{4}{3},

Decreasing

: - \frac{4}{3} < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - \frac{4}{3}

into

21 x^{5} + 35 x^{4} : \frac{1792}{81}

Maximum (- \frac{4}{3}, \frac{1792}{81})

Plug

x = 0

into

21 x^{5} + 35 x^{4} : 0

Minimum (0, 0)

Maximum (- \frac{4}{3}, \frac{1792}{81}), Minimum (0, 0)

Graph

Popular Examples

extreme f(x)=(x+1)/(x^2-8x-9)

extreme f(x,y)=x^2+4y^2+6

extreme f(x)=-(x^2+4x-4)(x+2)(x-1)

extreme f(x,y)=(x+1)^2+(y-3)^2

extreme f(x,y)=1+xy-x-y

Frequently Asked Questions (FAQ)

What is the extreme 21x^5+35x^4 ?
The extreme 21x^5+35x^4 is Maximum(-4/3 , 1792/81),Minimum(0,0)