Question
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Answer
The derivative of
is
.
Solution
-
Write the function:
-
Differentiate the function term-by-term.
-
The derivative of the first term is:
-
The derivative of the second term, using the power rule for
where is a constant, is: -
Therefore, the derivative of
is:
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Mind Expander
To find the derivative of the function
, we can use the rules of differentiation. The derivative of
is
, and the derivative of
is
.
Thus, we calculate:
- The derivative of
is . - The derivative of
is .
Combining these results, we get the derivative: