# 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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#### Solution Preview

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 ...

#### Solution Summary

The derivative of the function is depicted.

$2.49