Higher Order Derivative

Höfundur:Bed Prasad Dhakal

Umfjöllunarefni:Stærðfræðigreining, Afleiða

तलको applet 1 मा कालो बिन्दुलाई चलाउनुहोस र यस applet को तल दिएको चारवटा प्रश्नको उतर दिनुहोस ।

Test Your Understanding 1

What is the value of First derivative at Green points?

Veldu allt sem á við

A
Positive
B
Negative
C
Zero
D
Constant

Kanna svarið (3)

Test Your Understanding 2

What is the value of First derivative at Blue curve?

Veldu allt sem á við

A
Positive
B
Negative
C
Zero
D
Constant

Kanna svarið (3)

Test Your Understanding 3

What is the value of First derivative at Red curve?

Veldu allt sem á við

A
Positive
B
Negative
C
Zero
D
Constant

Kanna svarið (3)

Test Your Understanding 4

Which of the following is true? Check all that apply

Veldu allt sem á við

A
First derivative is positive for increasing curve
B
First derivative is negative for decreasing curve
C
First derivative is zero for local maxima/minima
D
First derivative can be positive, negative or zero for a curve

Kanna svarið (3)

तलको applet 2 मा कालो बिन्दुलाई चलाउनुहोस र यस applet को तल दिएको चारवटा प्रश्नको उतर दिनुहोस ।

Test Your Understanding 5

What is the value of Second derivative at Green points

Veldu allt sem á við

A
Positive
B
Negative
C
Zero
D
Constant

Kanna svarið (3)

Test Your Understanding 6

What is the value of Second derivative at Blue curve?

Veldu allt sem á við

A
Positive
B
Negative
C
Zero
D
Constant

Kanna svarið (3)

Test Your Understanding 7

What is the value of Second derivative at Red curve?

Veldu allt sem á við

A
Positive
B
Negative
C
Zero
D
Constant

Kanna svarið (3)

Test Your Understanding 8

Which of the following is true? Check all that apply.

Veldu allt sem á við

A
Second derivative is positive for a curve concave upward
B
Second derivative is negative for a curve concave downward
C
Second derivative is zero for inflectional point
D
Second derivative can be positive, negative or zero for a curve

Kanna svarið (3)

तलको applet 3 मा कालो बिन्दुलाई चलाउनुहोस र यस applet को तल दिएको तिनवटा प्रश्नको उतर दिनुहोस ।

Test your understanding 9

The value of First derivative at Blue curves are

Veldu allt sem á við

A
Increasing
B
Decreasing
C
Zero
D
Constant

Kanna svarið (3)

Test your understanding 10

What is the value of First derivative at Red curve?

Veldu allt sem á við

A
Increasing
B
Decreasing
C
Zero
D
Constant

Kanna svarið (3)

Test your understanding 11

Which of the following is true? Check all that apply

Veldu allt sem á við

A
First derivative is increasing for a curve concave upward
B
First derivative is decreasing for a curve concave downward
C
First derivative is zero inflectional point
D
Second derivative is zero at stationary points

Kanna svarið (3)

Below are three graphs. One of the graphs of f(x), another is f’(x), and another is f’’(x). Identify which is which?

Test your understanding 12

In the figure below, which is true?

Veldu allt sem á við

A
the curve p is f(x), the curve q is f'(x), the curve r is f'(x)
B
the curve r is f(x), the curve q is f'(x), the curve p is f'(x)
C
the curve p is f(x), the curve r is f'(x), the curve q is f'(x)
D
the curve q is f(x), the curve p is f'(x), the curve r is f'(x)

Kanna svarið (3)

Higher Order Derivative

तलको applet 1 मा कालो बिन्दुलाई चलाउनुहोस र यस applet को तल दिएको चारवटा प्रश्नको उतर दिनुहोस ।

Test Your Understanding 1

Test Your Understanding 2

Test Your Understanding 3

Test Your Understanding 4

तलको applet 2 मा कालो बिन्दुलाई चलाउनुहोस र यस applet को तल दिएको चारवटा प्रश्नको उतर दिनुहोस ।

Test Your Understanding 5

Test Your Understanding 6

Test Your Understanding 7

Test Your Understanding 8

तलको applet 3 मा कालो बिन्दुलाई चलाउनुहोस र यस applet को तल दिएको तिनवटा प्रश्नको उतर दिनुहोस ।

Test your understanding 9

Test your understanding 10

Test your understanding 11

Below are three graphs. One of the graphs of f(x), another is f’(x), and another is f’’(x). Identify which is which?

Test your understanding 12

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