Higher Order Derivative

作者：Bed Prasad Dhakal

主題：微積分, 導數

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?

勾選所有適當的選項

A
Positive
B
Negative
C
Zero
D
Constant

核對我的答案 (3)

Test Your Understanding 2

What is the value of First derivative at Blue curve?

勾選所有適當的選項

A
Positive
B
Negative
C
Zero
D
Constant

核對我的答案 (3)

Test Your Understanding 3

What is the value of First derivative at Red curve?

勾選所有適當的選項

A
Positive
B
Negative
C
Zero
D
Constant

核對我的答案 (3)

Test Your Understanding 4

Which of the following is true? Check all that apply

勾選所有適當的選項

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

核對我的答案 (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

勾選所有適當的選項

A
Positive
B
Negative
C
Zero
D
Constant

核對我的答案 (3)

Test Your Understanding 6

What is the value of Second derivative at Blue curve?

勾選所有適當的選項

A
Positive
B
Negative
C
Zero
D
Constant

核對我的答案 (3)

Test Your Understanding 7

What is the value of Second derivative at Red curve?

勾選所有適當的選項

A
Positive
B
Negative
C
Zero
D
Constant

核對我的答案 (3)

Test Your Understanding 8

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

勾選所有適當的選項

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

核對我的答案 (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

勾選所有適當的選項

A
Increasing
B
Decreasing
C
Zero
D
Constant

核對我的答案 (3)

Test your understanding 10

What is the value of First derivative at Red curve?

勾選所有適當的選項

A
Increasing
B
Decreasing
C
Zero
D
Constant

核對我的答案 (3)

Test your understanding 11

Which of the following is true? Check all that apply

勾選所有適當的選項

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

核對我的答案 (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?

勾選所有適當的選項

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)

核對我的答案 (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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