Calculus Examples

Find the Derivative - d/dx 2x^3sin(x)-3xcos(x)
Step 1
By the Sum Rule, the derivative of with respect to is .
Step 2
Evaluate .
Tap for more steps...
Step 2.1
Since is constant with respect to , the derivative of with respect to is .
Step 2.2
Differentiate using the Product Rule which states that is where and .
Step 2.3
The derivative of with respect to is .
Step 2.4
Differentiate using the Power Rule which states that is where .
Step 3
Evaluate .
Tap for more steps...
Step 3.1
Since is constant with respect to , the derivative of with respect to is .
Step 3.2
Differentiate using the Product Rule which states that is where and .
Step 3.3
The derivative of with respect to is .
Step 3.4
Differentiate using the Power Rule which states that is where .
Step 3.5
Multiply by .
Step 4
Simplify.
Tap for more steps...
Step 4.1
Apply the distributive property.
Step 4.2
Apply the distributive property.
Step 4.3
Combine terms.
Tap for more steps...
Step 4.3.1
Multiply by .
Step 4.3.2
Multiply by .
Step 4.4
Reorder terms.