Calculus Examples

Find the Derivative - d/dx y=3^xx^3
Step 1
Differentiate using the Product Rule which states that is where and .
Step 2
Differentiate using the Power Rule which states that is where .
Step 3
Multiply by by adding the exponents.
Tap for more steps...
Step 3.1
Move .
Step 3.2
Multiply by .
Tap for more steps...
Step 3.2.1
Raise to the power of .
Step 3.2.2
Use the power rule to combine exponents.
Step 4
Differentiate using the Exponential Rule which states that is where =.
Step 5
Simplify.
Tap for more steps...
Step 5.1
Reorder terms.
Step 5.2
Reorder factors in .