Find dx/dy y=x^0.95

Math
Differentiate both sides of the equation.
Differentiate using the Power Rule which states that is where .
Differentiate the right side of the equation.
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Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
Differentiate using the Power Rule which states that is where .
Replace all occurrences of with .
Rewrite as .
Rewrite the expression using the negative exponent rule .
Simplify.
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Combine and .
Reorder the factors of .
Reform the equation by setting the left side equal to the right side.
Solve for .
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Rewrite the equation as .
Combine and .
Multiply each term by and simplify.
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Multiply each term in by .
Cancel the common factor of .
Simplify .
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Multiply by .
Multiply by .
Factor out of .
Separate fractions.
Divide by .
Divide by .
Replace with .
Find dx/dy y=x^0.95

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