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Example of mathematical operations:
Example:
Solve the following equation:
[2 .( 3 + 5) - 5 + 2] x 3 = ________
Solution:
a. Perform operations within the innermost set of parentheses.
3 + 5 = 8
b. Rewriting the equation:
[2.8 - 5 + 2] x 3 =
c. Perform multiplication prior to addition & subtraction within the brackets.
[16 - 5 + 2] x 3 =
[11 + 2] x 3 =
[13] x 3 =
d. Perform multiplication outside the brackets.
13 x 3 = 39
Solve the subsequent equation:
5 + [2 (3 + 1) - 1] x 2 =
5 + [2 (4) - 1] x 2 =
5 + [8 - 1] x 2 =
5 + [7] x 2 =
5 + 14 = 19
[(10 - 4) ÷ 3] + [4 x (5 - 3)] =
[(6) ÷ 3] + [4 x (2)] =
[2] + [8] =
2 + 8 = 10
Product Rule: (f g)′ = f ′ g + f g′ As with above the Power Rule, so the Product Rule can be proved either through using the definition of the derivative or this can be proved
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