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Show that if $f(x)=x^{4},$ then $f^{\prime \prime}(0)=0,$ but $(0,0)$ is not an inflection point of the graph of $f .$

No infection point because $f \prime \prime(x)$ is always positive

Calculus 1 / AB

Chapter 4

APPLICATIONS OF DIFFERENTIATION

Section 3

Derivatives and the Shapes of Graphs

Derivatives

Differentiation

Applications of the Derivative

Campbell University

Baylor University

Idaho State University

Lectures

04:40

In mathematics, a derivati…

44:57

In mathematics, a differen…

01:40

Show that if $ f(x) = x^4 …

02:00

Show that the function $g(…

00:38

Use the graph of $y=f^{\pr…

06:01

Show that the function $ g…

01:49

Show that $f(x)=x^{3}-3 x^…

03:53

Give a function that does …

01:22

02:52

Show that the function

02:20

The graph of $f^{\prime}$ …

02:21

01:52

03:55

Show that the inflection p…

01:55

If $f^{\prime \prime}(2)=0…

02:44

03:27

Let $f(x)=x e^{-x}$a. …

02:28

Prove that if $(c, f(c))$ …

02:16

Find the inflection points…

03:40

Show that the curves $ y =…

Prove that if $ (c, f(c)) …

09:02

Let $f(x)=\frac{e^{x}}{1+e…

for this problem, we can fight. We can write out the steak of the charity for faith in the beginning, so we set F double primary cause zero. We don't have one solution. X equals zero. That means we only need to concede there to stop intervals. So from negative infinity to zero and the from zero to positive Infinity on the first interval left other primates positive. So it's concave up on the second trouble. If double prints also positive, says countries that them use X equals zero is not and inflection points because the community is on the season. Ah, on the two side at X equals zero.

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In mathematics, a derivative is a measure of how a function changes as its i…

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$$\begin{array}{l}{\text { If } F(x)=f(3 f(4 f(x))), \text { where } f(0…

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$37-50=$ Find the absolute maximum and absolute minimumvalues of $f$ on …

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Show that if $f(x)=x^{4},$ then $f^{\prime \prime}(0)=0,$ but $(0,0)$ is not…