Calculus Examples

Find the Derivative - d/dx (x^2)/(cos(x))
Step 1
Differentiate using the Quotient Rule which states that is where and .
Step 2
Differentiate using the Power Rule which states that is where .
Step 3
The derivative of with respect to is .
Step 4
Multiply.
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Step 4.1
Multiply by .
Step 4.2
Multiply by .
Step 5
Simplify.
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Step 5.1
Simplify the numerator.
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Step 5.1.1
Rewrite using the commutative property of multiplication.
Step 5.1.2
Reorder factors in .
Step 5.2
Factor out of .
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Step 5.2.1
Factor out of .
Step 5.2.2
Factor out of .
Step 5.2.3
Factor out of .