Higher Order 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?

Zero Constant Positive Negative

Test Your Understanding 2

What is the value of First derivative at Blue curve?

Positive Constant Negative Zero

Test Your Understanding 3

What is the value of First derivative at Red curve?

Positive Zero Constant Negative

Test Your Understanding 4

Which of the following is true? Check all that apply

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

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

Negative Positive Constant Zero

Test Your Understanding 6

What is the value of Second derivative at Blue curve?

Constant Positive Zero Negative

Test Your Understanding 7

What is the value of Second derivative at Red curve?

Positive Zero Constant Negative

Test Your Understanding 8

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

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

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

Zero Decreasing Increasing Constant

Test your understanding 10

What is the value of First derivative at Red curve?

Zero Constant Increasing Decreasing

Test your understanding 11

Which of the following is true? Check all that apply

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

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?

the curve r is f(x), the curve q is f'(x), the curve p is f'(x) the curve p is f(x), the curve r is f'(x), the curve q is f'(x) the curve q is f(x), the curve p is f'(x), the curve r is f'(x) the curve p is f(x), the curve q is f'(x), the curve r is f'(x)

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

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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

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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

Information: Higher Order Derivative