Differentiate both sides of the equation.

Differentiate using the Power Rule which states that is where .

Differentiate using the chain rule, which states that is where and .

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.

Combine and .

Reorder the factors of .

Reform the equation by setting the left side equal to the right side.

Rewrite the equation as .

Combine and .

Multiply each term by and simplify.

Multiply each term in by .

Cancel the common factor of .

Simplify .

Multiply by .

Multiply by .

Factor out of .

Separate fractions.

Divide by .

Divide by .

Replace with .

Find dx/dy y=x^0.95