Calculus Examples

Find the Derivative - d/d@VAR f(x)=(x+1)cos(x)
Step 1
Differentiate using the Product Rule which states that is where and .
Step 2
The derivative of with respect to is .
Step 3
Differentiate.
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Step 3.1
By the Sum Rule, the derivative of with respect to is .
Step 3.2
Differentiate using the Power Rule which states that is where .
Step 3.3
Since is constant with respect to , the derivative of with respect to is .
Step 3.4
Simplify the expression.
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Step 3.4.1
Add and .
Step 3.4.2
Multiply by .
Step 4
Simplify.
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Step 4.1
Apply the distributive property.
Step 4.2
Combine terms.
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Step 4.2.1
Multiply by .
Step 4.2.2
Rewrite as .
Step 4.3
Reorder terms.