# Maximum and Minimum Values

## Calculus 1 / Ab

### 185 Practice Problems

07:46
Essential Calculus Early Transcendentals

$53-56$
(a) Use a graph to estimate the absolute maximum and
minimum values of the function to two decimal places.
(b) Use calculus to find the exact maximum and minimum
values.
$$f(x)=x^{5}-x^{3}+2, \quad-1 \leqslant x \leqslant 1$$

APPLICATIONS OF DIFFERENTIATION
Maximum and Minimum Values
02:00
Essential Calculus Early Transcendentals

Use a graph to estimate the critical numbers of
$f(x)=\left|x^{3}-3 x^{2}+2\right|$ correct to one decimal place.

APPLICATIONS OF DIFFERENTIATION
Maximum and Minimum Values
02:38
Essential Calculus Early Transcendentals

$37-50=$ Find the absolute maximum and absolute minimum
values of $f$ on the given interval.
$$f(x)=\ln \left(x^{2}+x+1\right), \quad[-1,1]$$

APPLICATIONS OF DIFFERENTIATION
Maximum and Minimum Values
01:41
Essential Calculus Early Transcendentals

$37-50=$ Find the absolute maximum and absolute minimum
values of $f$ on the given interval.
$$f(x)=x-\ln x, \quad\left[\frac{1}{2}, 2\right]$$

APPLICATIONS OF DIFFERENTIATION
Maximum and Minimum Values
03:03
Essential Calculus Early Transcendentals

$37-50=$ Find the absolute maximum and absolute minimum
values of $f$ on the given interval.
$$f(x)=x e^{-x^{2} / 8}, \quad[-1,4]$$

APPLICATIONS OF DIFFERENTIATION
Maximum and Minimum Values
03:11
Essential Calculus Early Transcendentals

$37-50=$ Find the absolute maximum and absolute minimum
values of $f$ on the given interval.
$$f(x)=\frac{x}{x^{2}-x+1},[0,3]$$

APPLICATIONS OF DIFFERENTIATION
Maximum and Minimum Values
04:27
Essential Calculus Early Transcendentals

$37-50=$ Find the absolute maximum and absolute minimum
values of $f$ on the given interval.
$$f(t)=t \sqrt{4-t^{2}}, \quad[-1,2]$$

APPLICATIONS OF DIFFERENTIATION
Maximum and Minimum Values
02:13
Essential Calculus Early Transcendentals

$37-50=$ Find the absolute maximum and absolute minimum
values of $f$ on the given interval.
$$f(x)=\left(x^{2}-1\right)^{3}, \quad[-1,2]$$

APPLICATIONS OF DIFFERENTIATION
Maximum and Minimum Values
02:16
Essential Calculus Early Transcendentals

$37-50=$ Find the absolute maximum and absolute minimum
values of $f$ on the given interval.
$$f(x)=3 x^{4}-4 x^{3}-12 x^{2}+1, \quad[-2,3]$$

APPLICATIONS OF DIFFERENTIATION
Maximum and Minimum Values
02:06
Essential Calculus Early Transcendentals

$37-50=$ Find the absolute maximum and absolute minimum
values of $f$ on the given interval.
$$f(x)=x^{3}-6 x^{2}+5, \quad[-3,5]$$

APPLICATIONS OF DIFFERENTIATION
Maximum and Minimum Values
09:48
Essential Calculus Early Transcendentals

$37-50=$ Find the absolute maximum and absolute minimum
values of $f$ on the given interval.
$$f(x)=2 x^{3}-3 x^{2}-12 x+1, \quad[-2,3]$$

APPLICATIONS OF DIFFERENTIATION
Maximum and Minimum Values
03:06
Essential Calculus Early Transcendentals

$37-50=$ Find the absolute maximum and absolute minimum
values of $f$ on the given interval.
$$f(x)=5+54 x-2 x^{3}, \quad[0,4]$$

APPLICATIONS OF DIFFERENTIATION
Maximum and Minimum Values
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