Calculus Examples

Find the Derivative - d/dx 4sin(3x)^2
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 Power Rule which states that is where .
Step 2.3
Replace all occurrences of with .
Step 3
Multiply by .
Step 4
Differentiate using the chain rule, which states that is where and .
Tap for more steps...
Step 4.1
To apply the Chain Rule, set as .
Step 4.2
The derivative of with respect to is .
Step 4.3
Replace all occurrences of with .
Step 5
Differentiate.
Tap for more steps...
Step 5.1
Since is constant with respect to , the derivative of with respect to is .
Step 5.2
Multiply by .
Step 5.3
Differentiate using the Power Rule which states that is where .
Step 5.4
Simplify the expression.
Tap for more steps...
Step 5.4.1
Multiply by .
Step 5.4.2
Reorder the factors of .