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Change radicals to fractional exponent form. As an alternative, you can save time in the future by differentiating radicals directly using the rule
Switch radicals to fractional exponent form.
Differentiate both sides of the equation with respect to
Writing out the implicit derivative using the Product Rule and Generalized Power Rule
Taking the derivative
Isolate terms involving
on the left side of the equation.
Isolating like terms on either side of the equation
Factor out and solve for
Factor out the common multiple on the left hand side
Simplify by multiplying numerator and denominator by 1
Simplifying as shown
Rewriting in radical form
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