Calculus Examples

Find the Derivative - d/dx (cos(x))/x
Step 1
Differentiate using the Quotient Rule which states that is where and .
Step 2
The derivative of with respect to is .
Step 3
Differentiate using the Power Rule.
Tap for more steps...
Step 3.1
Differentiate using the Power Rule which states that is where .
Step 3.2
Multiply by .
Step 4
Simplify.
Tap for more steps...
Step 4.1
Rewrite using the commutative property of multiplication.
Step 4.2
Factor out of .
Step 4.3
Factor out of .
Step 4.4
Factor out of .
Step 4.5
Rewrite as .
Step 4.6
Move the negative in front of the fraction.