MAT157Y1 Lecture Notes - Quotient Rule, Product Rule
Document Summary
Solution 1 : because a variable is raised to a variable power in this function, the ordinary rules of differentiation do not apply ! Apply the natural logarithm to both sides of this equation getting y = xx . Solution 2 : because a variable is raised to a variable power in this function, the ordinary rules of differentiation do not apply ! Use the product rule on the right-hand side. Thus, beginning with and differentiating, we get (get a common denominator and combine fractions on the right-hand side. ) (factor out ex in the numerator. ) Solution 3 : because a variable is raised to a variable power in this function, the ordinary rules of differentiation do not apply ! Apply the natural logarithm to both sides of this equation getting y = (3x2+5)1/x . Use the quotient rule and the chain rule on the right-hand side.
