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Techniques of Differentiation. We now have a shortcut to find a derivative of a simple function. You multiply the exponent by any coefficient in front.

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Presentation on theme: "Techniques of Differentiation. We now have a shortcut to find a derivative of a simple function. You multiply the exponent by any coefficient in front."— Presentation transcript:

1 Techniques of Differentiation

2 We now have a shortcut to find a derivative of a simple function. You multiply the exponent by any coefficient in front of the variable, and you decrease your exponent by 1.

3 Techniques of Differentiation We now have a shortcut to find a derivative of a simple function. You multiply the exponent by any coefficient in front of the variable, and you decrease your exponent by 1.

4 Techniques of Differentiation We now have a shortcut to find a derivative of a simple function. You multiply the exponent by any coefficient in front of the variable, and you decrease your exponent by 1.

5 Techniques of Differentiation We now have a shortcut to find a derivative of a simple function. You multiply the exponent by any coefficient in front of the variable, and you decrease your exponent by 1.

6 Techniques of Differentiation We now have a shortcut to find a derivative of a simple function. You multiply the exponent by any coefficient in front of the variable, and you decrease your exponent by 1.

7 Techniques of Differentiation This rule applies when you have: 1. Sums of functions 2. Differences of functions 3. Combinations of both

8 Techniques of Differentiation This rule applies when you have: 1. Sums of functions 2. Differences of function 3. Combinations of both

9 Techniques of Differentiation This rule applies when you have: 1. Sums of functions 2. Differences of function 3. Combinations of both

10 Techniques of Differentiation This rule applies when you have: 1. Sums of functions 2. Differences of function 3. Combinations of both

11 Techniques of Differentiation This rule applies when you have: 1. Sums of functions 2. Differences of function 3. Combinations of both We can apply the rule directly to each part…

12 Techniques of Differentiation

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14 Remember, anything to the zero power = 1

15 Techniques of Differentiation

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21 The derivative of a constant = 0

22 Techniques of Differentiation The derivative of a constant = 0

23 Techniques of Differentiation The derivative of a constant = 0

24 Techniques of Differentiation The derivative of a constant = 0

25 Techniques of Differentiation The derivative of a constant = 0

26 Techniques of Differentiation The derivative of a constant = 0

27 Techniques of Differentiation The derivative of a constant = 0

28 Techniques of Differentiation The derivative of a constant = 0


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