Calculus Examples

Find the Derivative - d/d@VAR f(r)=4/3pir^3
Step 1
Combine and .
Step 2
Since is constant with respect to , the derivative of with respect to is .
Step 3
Differentiate using the Power Rule which states that is where .
Step 4
Simplify terms.
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Step 4.1
Combine and .
Step 4.2
Multiply by .
Step 4.3
Combine and .
Step 4.4
Cancel the common factor of and .
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Step 4.4.1
Factor out of .
Step 4.4.2
Cancel the common factors.
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Step 4.4.2.1
Factor out of .
Step 4.4.2.2
Cancel the common factor.
Step 4.4.2.3
Rewrite the expression.
Step 4.4.2.4
Divide by .