Calculus Examples

Replace with .
Interchange the variables.
Solve for .
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Rewrite the equation as .
Subtract from both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Divide by .
Simplify each term.
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Move the negative in front of the fraction.
Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
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 terms.
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Reduce the expression by cancelling the common factors.
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Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine the numerators over the common denominator.
Simplify the numerator.
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Apply the distributive property.
Multiply by .
Multiply by .
Add and .
Add and .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Divide by .
Since , is the inverse of .
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