Calculus Examples

Replace with .
Interchange the variables.
Solve for .
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Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Add to both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Simplify the left side of the by cancelling the common factors.
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Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative one from the denominator of .
Simplify the expression.
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Multiply by .
Rewrite as .
Simplify each term.
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Move the negative in front of the fraction.
Move the negative in front of the fraction.
Solve for and replace with .
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Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
Simplify each term.
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Apply the distributive property.
Simplify .
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Multiply by .
Write as a fraction with denominator .
Multiply and .
Multiply by .
Simplify .
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Multiply by .
Write as a fraction with denominator .
Multiply and .
Simplify each term.
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Divide by .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Divide by .
Simplify by subtracting numbers.
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Subtract from .
Add and .
Since , is the inverse of .
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