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Calculus Examples
Step 1
Step 1.1
To apply the Chain Rule, set as .
Step 1.2
The derivative of with respect to is .
Step 1.3
Replace all occurrences of with .
Step 2
Rewrite in terms of sines and cosines.
Step 3
Multiply by the reciprocal of the fraction to divide by .
Step 4
Multiply by .
Step 5
Step 5.1
To apply the Chain Rule, set as .
Step 5.2
The derivative of with respect to is .
Step 5.3
Replace all occurrences of with .
Step 6
Step 6.1
Since is constant with respect to , the derivative of with respect to is .
Step 6.2
Differentiate using the Power Rule which states that is where .
Step 6.3
Simplify the expression.
Step 6.3.1
Multiply by .
Step 6.3.2
Move to the left of .
Step 7
Step 7.1
Rewrite in terms of sines and cosines, then cancel the common factors.
Step 7.1.1
Add parentheses.
Step 7.1.2
Reorder and .
Step 7.1.3
Rewrite in terms of sines and cosines.
Step 7.1.4
Cancel the common factors.
Step 7.2
Multiply by .
Step 7.3
Rewrite in terms of sines and cosines.
Step 7.4
Combine and .
Step 7.5
Separate fractions.
Step 7.6
Convert from to .
Step 7.7
Divide by .