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Powerpoint Jeopardy Definition of Derivatives Basic Derivatives Equation of Tangent Line Product & Quotient Rule Chain Rule 10 20 30 40 50.

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Presentation on theme: "Powerpoint Jeopardy Definition of Derivatives Basic Derivatives Equation of Tangent Line Product & Quotient Rule Chain Rule 10 20 30 40 50."— Presentation transcript:

1 Powerpoint Jeopardy Definition of Derivatives Basic Derivatives Equation of Tangent Line Product & Quotient Rule Chain Rule 10 20 30 40 50

2 Use the definition of derivatives to find the slope of the graph of

3 Use the definition of a derivative to calculate the derivative of

4 Is the function f(x)=|x – 2| differentiable everywhere? If not, why not?

5 Use the definition of derivatives to find the derivative of

6 Insert Text for Questio Category 1 – 50 points (a)Is the slope of the tangent line at (-3, -3) positive, negative or zero? (b)Is the slope of the tangent line at -1 positive, negative or zero?

7 Find the derivative of x -9

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9 Suppose the position equation for a moving object is given by where s is measured in meters and t is measured in seconds. Find the velocity of the object when t = 2.

10 The volume of a right circular cone of radius r and height r is given by How fast is the volume changing with respect to changes in r when the radius r is equal to 2 feet?

11 The graph below represents the graph of the derivative of what function?

12 Find an equation of the tangent line to the graph of the function f(x) = 2 sin x at the point where

13 Find an equation of the tangent line to the graph of at the point where x = 1.

14 Find an equation of the tangent line to the graph of f(x) = tan x at the point

15 Find an equation for the tangent line to the graph of

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17 Differentiate:

18 Find y ’’ for

19 Let f(3) = 0, f’(3) = 6, g(3) = 1 and g’(3) = 1/3. Find h’(3) if h(x) = f(x)/g(x).

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21 Differentiate:

22 Find the value of the derivative of

23 Find the derivative of

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26 Evaluate the derivative of


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