en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme-t^3+21t^2+35t+20

Solution

extreme points

- t^{3} + 21 t^{2} + 35 t + 20

Solution

Minimum (- \frac{- 21 + 546}{3}, \frac{518 546 - 12348}{9} + 2323 - 98546), Maximum (\frac{21 + 546}{3}, \frac{- 12348 - 518 546}{9} + 2323 + 98546)

Solution steps

f^{'} (t) = - 3 t^{2} + 42 t + 35

Find intervals:

Decreasing

: - \infty < t < - \frac{182}{3} + 7,

Increasing

: - \frac{182}{3} + 7 < t < \frac{182}{3} + 7,

Decreasing

: \frac{182}{3} + 7 < t < \infty

Plug

t = - \frac{- 21 + 546}{3}

into

- t^{3} + 21 t^{2} + 35 t + 20 : \frac{518 546 - 12348}{9} + 2323 - 98546

Minimum (- \frac{- 21 + 546}{3}, \frac{518 546 - 12348}{9} + 2323 - 98546)

Plug

t = \frac{21 + 546}{3}

into

- t^{3} + 21 t^{2} + 35 t + 20 : \frac{- 12348 - 518 546}{9} + 2323 + 98546

Maximum (\frac{21 + 546}{3}, \frac{- 12348 - 518 546}{9} + 2323 + 98546)

Minimum (- \frac{- 21 + 546}{3}, \frac{518 546 - 12348}{9} + 2323 - 98546), Maximum (\frac{21 + 546}{3}, \frac{- 12348 - 518 546}{9} + 2323 + 98546)

Popular Examples

inverse of f(y)=2x+3 inverse

f (y) = 2 x + 3

range of 6x^2-15x range

6 x^{2} - 15 x

extreme f(x)=x(x^2-6x+9)extreme points

f (x) = x (x^{2} - 6 x + 9)

parity y=(1-x)/(cos(x))parity

y = \frac{1 - x}{cos ( x )}

amplitude of-sin(2x)amplitude

- sin (2 x)

Frequently Asked Questions (FAQ)

What is the extreme-t^3+21t^2+35t+20 ?
The extreme-t^3+21t^2+35t+20 is