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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 1.2.1.3
Multiply by .
Step 1.2.2
Simplify by adding and subtracting.
Step 1.2.2.1
Add and .
Step 1.2.2.2
Subtract from .
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
Raise to the power of .
Step 2.2.1.2
Multiply by .
Step 2.2.1.3
Multiply by .
Step 2.2.2
Simplify by adding and subtracting.
Step 2.2.2.1
Add and .
Step 2.2.2.2
Subtract from .
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
Raising to any positive power yields .
Step 3.2.1.2
Multiply by .
Step 3.2.1.3
Multiply by .
Step 3.2.2
Simplify by adding and subtracting.
Step 3.2.2.1
Add and .
Step 3.2.2.2
Subtract from .
Step 3.2.3
The final answer is .
Step 3.3
Convert to decimal.
Step 4
Step 4.1
Replace the variable with in the expression.
Step 4.2
Simplify the result.
Step 4.2.1
Simplify each term.
Step 4.2.1.1
One to any power is one.
Step 4.2.1.2
Multiply by .
Step 4.2.1.3
Multiply by .
Step 4.2.2
Simplify by subtracting numbers.
Step 4.2.2.1
Subtract from .
Step 4.2.2.2
Subtract from .
Step 4.2.3
The final answer is .
Step 4.3
Convert to decimal.
Step 5
Step 5.1
Replace the variable with in the expression.
Step 5.2
Simplify the result.
Step 5.2.1
Simplify each term.
Step 5.2.1.1
Raise to the power of .
Step 5.2.1.2
Multiply by .
Step 5.2.1.3
Multiply by .
Step 5.2.2
Simplify by subtracting numbers.
Step 5.2.2.1
Subtract from .
Step 5.2.2.2
Subtract from .
Step 5.2.3
The final answer is .
Step 5.3
Convert to decimal.
Step 6
The cubic function can be graphed using the function behavior and the points.
Step 7
The cubic function can be graphed using the function behavior and the selected points.
Falls to the left and rises to the right
Step 8