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 Positive Negative Constant

Test Your Understanding 2

What is the value of First derivative at Blue curve?

Constant Zero Negative Positive

Test Your Understanding 3

What is the value of First derivative at Red curve?

Zero Constant Negative Positive

Test Your Understanding 4

Which of the following is true? Check all that apply

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

Test Your Understanding 6

What is the value of Second derivative at Blue curve?

Negative Constant Zero Positive

Test Your Understanding 7

What is the value of Second derivative at Red curve?

Zero Constant Negative Positive

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 negative for a curve concave downward Second derivative is positive for a curve concave upward

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?

Constant Decreasing Zero Increasing

Test your understanding 11

Which of the following is true? Check all that apply

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

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

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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