Calculus Examples

Find the Derivative - d/dx 7e^(xcos(x))
Step 1
Since is constant with respect to , the derivative of with respect to is .
Step 2
Differentiate using the chain rule, which states that is where and .
Tap for more steps...
Step 2.1
To apply the Chain Rule, set as .
Step 2.2
Differentiate using the Exponential Rule which states that is where =.
Step 2.3
Replace all occurrences of with .
Step 3
Differentiate using the Product Rule which states that is where and .
Step 4
The derivative of with respect to is .
Step 5
Differentiate using the Power Rule.
Tap for more steps...
Step 5.1
Differentiate using the Power Rule which states that is where .
Step 5.2
Multiply by .
Step 6
Simplify.
Tap for more steps...
Step 6.1
Apply the distributive property.
Step 6.2
Multiply by .