Higher Order Derivative

Author:Bed Prasad Dhakal

Topic:Calculus, Derivative

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?

Select all that apply

A
Positive
B
Negative
C
Zero
D
Constant

Check my answer (3)

Test Your Understanding 2

What is the value of First derivative at Blue curve?

Select all that apply

A
Positive
B
Negative
C
Zero
D
Constant

Check my answer (3)

Test Your Understanding 3

What is the value of First derivative at Red curve?

Select all that apply

A
Positive
B
Negative
C
Zero
D
Constant

Check my answer (3)

Test Your Understanding 4

Which of the following is true? Check all that apply

Select all that apply

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

Check my answer (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

Select all that apply

A
Positive
B
Negative
C
Zero
D
Constant

Check my answer (3)

Test Your Understanding 6

What is the value of Second derivative at Blue curve?

Select all that apply

A
Positive
B
Negative
C
Zero
D
Constant

Check my answer (3)

Test Your Understanding 7

What is the value of Second derivative at Red curve?

Select all that apply

A
Positive
B
Negative
C
Zero
D
Constant

Check my answer (3)

Test Your Understanding 8

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

Select all that apply

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

Check my answer (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

Select all that apply

A
Increasing
B
Decreasing
C
Zero
D
Constant

Check my answer (3)

Test your understanding 10

What is the value of First derivative at Red curve?

Select all that apply

A
Increasing
B
Decreasing
C
Zero
D
Constant

Check my answer (3)

Test your understanding 11

Which of the following is true? Check all that apply

Select all that apply

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

Check my answer (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?

Select all that apply

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)

Check my answer (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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