Calculus Examples

Find the Derivative - d/dx -2cos(x)sin(x)
Step 1
Since is constant with respect to , the derivative of with respect to is .
Step 2
Differentiate using the Product Rule which states that is where and .
Step 3
The derivative of with respect to is .
Step 4
Raise to the power of .
Step 5
Raise to the power of .
Step 6
Use the power rule to combine exponents.
Step 7
Add and .
Step 8
The derivative of with respect to is .
Step 9
Raise to the power of .
Step 10
Raise to the power of .
Step 11
Use the power rule to combine exponents.
Step 12
Add and .
Step 13
Simplify.
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Step 13.1
Apply the distributive property.
Step 13.2
Multiply by .