Calculus Examples

Find the Derivative - d/dx 1/(x^10)
Step 1
Apply basic rules of exponents.
Tap for more steps...
Step 1.1
Rewrite as .
Step 1.2
Multiply the exponents in .
Tap for more steps...
Step 1.2.1
Apply the power rule and multiply exponents, .
Step 1.2.2
Multiply by .
Step 2
Differentiate using the Power Rule which states that is where .
Step 3
Simplify.
Tap for more steps...
Step 3.1
Rewrite the expression using the negative exponent rule .
Step 3.2
Combine terms.
Tap for more steps...
Step 3.2.1
Combine and .
Step 3.2.2
Move the negative in front of the fraction.