Calculus Examples

Find the Derivative - d/d@VAR f(x)=6xe^xcsc(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
Differentiate using the Product Rule which states that is where and .
Step 5
Differentiate using the Exponential Rule which states that is where =.
Step 6
Differentiate using the Power Rule.
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Step 6.1
Differentiate using the Power Rule which states that is where .
Step 6.2
Multiply by .
Step 7
Simplify.
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Step 7.1
Apply the distributive property.
Step 7.2
Apply the distributive property.
Step 7.3
Multiply by .
Step 7.4
Reorder terms.