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Derivative of the Function and Definite Integral

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1. Find the derivative of the function .
14. Find the derivative of the function
25. Find the definite integral:
8. Find

6. Find the indefinite integral:

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The derivative of the function is depicted.

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1. Find the derivative of the function .
The derivative of is . In this function, and

which is found using the chain rule. Putting the values of u and u' into the formula for the derivative give
.

14. Find the derivative of the function
The derivative formula for is . Here, and . Putting these into the derivative formula gives
.

25. Find the definite integral:
The integral of can be ...

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