Higher Order Derivative

ForfatterBed Prasad Dhakal

Emne:Regning, Afledte

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?

Sæt kryds ved dit svar

A
Positive
B
Negative
C
Zero
D
Constant

Tjek mine svar (3)

Test Your Understanding 2

What is the value of First derivative at Blue curve?

Sæt kryds ved dit svar

A
Positive
B
Negative
C
Zero
D
Constant

Tjek mine svar (3)

Test Your Understanding 3

What is the value of First derivative at Red curve?

Sæt kryds ved dit svar

A
Positive
B
Negative
C
Zero
D
Constant

Tjek mine svar (3)

Test Your Understanding 4

Which of the following is true? Check all that apply

Sæt kryds ved dit svar

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

Tjek mine svar (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

Sæt kryds ved dit svar

A
Positive
B
Negative
C
Zero
D
Constant

Tjek mine svar (3)

Test Your Understanding 6

What is the value of Second derivative at Blue curve?

Sæt kryds ved dit svar

A
Positive
B
Negative
C
Zero
D
Constant

Tjek mine svar (3)

Test Your Understanding 7

What is the value of Second derivative at Red curve?

Sæt kryds ved dit svar

A
Positive
B
Negative
C
Zero
D
Constant

Tjek mine svar (3)

Test Your Understanding 8

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

Sæt kryds ved dit svar

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

Tjek mine svar (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

Sæt kryds ved dit svar

A
Increasing
B
Decreasing
C
Zero
D
Constant

Tjek mine svar (3)

Test your understanding 10

What is the value of First derivative at Red curve?

Sæt kryds ved dit svar

A
Increasing
B
Decreasing
C
Zero
D
Constant

Tjek mine svar (3)

Test your understanding 11

Which of the following is true? Check all that apply

Sæt kryds ved dit svar

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

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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?

Sæt kryds ved dit svar

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)

Tjek mine svar (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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