Module 10  Answers 
Lesson 1 
Answer 1 
10.1.1

Answer 2 
10.1.2 The exponent in the function becomes the coefficient of the derivative and the exponent of the derivative is one less than the exponent in the function. 
Answer 3 
10.1.3
Predict that
and
, which are verified in the screen below.

Answer 4 
10.1.4
Generalize that
, which is verified in the screen below.

Answer 5 
10.1.5
The Power Rule appears to be valid for other types of exponents. 
Lesson 2 
Answer 1 
10.2.1

Answer 2 
10.2.2
Predict that
, which is verified below.

Answer 3 
10.2.3
Predict that
.

Answer 4 
10.2.4

Answer 5 
10.2.5
Predict
, which is equivalent to the expression shown in the screen below.

Answer 6 
10.2.6
Predict that
and that
, which are each respectively equivalent to the expressions shown below.

Answer 7 
10.2.7
The derivative of the product of two functions f and g is given by
.
You will have to scroll to the right in the History Area to see the entire result of , which is equivalent to the one stated in the theorem. 
Lesson 4 
Answer 1 
10.4.1
This result is known as the Chain Rule for derivatives. 
Self Test 
Answer 1 
Answer 2 
Answer 3 
Answer 4 
2:Save Copy As... in the F1:Tools menu 
Answer 5 
8:Text Editor in the APPs menu, then select 2:open... 
Answer 6 
To find the derivative of a cofunction, negate the derivative of the original function and replace the functions in the derivative with their cofunctions. 
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