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Calculus Examples
Step 1
Step 1.1
Replace the variable with in the expression.
Step 1.2
Simplify the result.
Step 1.2.1
Simplify each term.
Step 1.2.1.1
Raise to the power of .
Step 1.2.1.2
Multiply by .
Step 1.2.2
Add and .
Step 1.2.3
The final answer is .
Step 1.3
Convert to decimal.
Step 2
Step 2.1
Replace the variable with in the expression.
Step 2.2
Simplify the result.
Step 2.2.1
Simplify each term.
Step 2.2.1.1
Multiply by by adding the exponents.
Step 2.2.1.1.1
Multiply by .
Step 2.2.1.1.1.1
Raise to the power of .
Step 2.2.1.1.1.2
Use the power rule to combine exponents.
Step 2.2.1.1.2
Add and .
Step 2.2.1.2
Raise to the power of .
Step 2.2.2
Add and .
Step 2.2.3
The final answer is .
Step 2.3
Convert to decimal.
Step 3
Step 3.1
Replace the variable with in the expression.
Step 3.2
Simplify the result.
Step 3.2.1
Simplify each term.
Step 3.2.1.1
Raise to the power of .
Step 3.2.1.2
Multiply by .
Step 3.2.2
Subtract from .
Step 3.2.3
The final answer is .
Step 3.3
Convert to decimal.
Step 4
The cubic function can be graphed using the function behavior and the points.
Step 5
The cubic function can be graphed using the function behavior and the selected points.
Rises to the left and falls to the right
Step 6