![]() The chain rule can be generalised to multivariate functions, and represented by a tree diagram. We have seen the techniques for differentiating basic functions ( xn, sinx, cosx, etc.) as well as sums, differences, products, quotients, and constant multiples of these functions. The chain rule allows us to find the derivative of a composite function. Show Solution For this problem the outside function is (hopefully) clearly the exponent of -2 on the parenthesis while the inside function is the polynomial that is being raised to the power. ![]() ![]() In calculus, the chain rule is a formula that expresses the derivative of the composition of two differentiable functions f and g in terms of the derivatives of f and g. Apply the Chain Rule and the Product/Quotient Rules correctly in combination when both are necessary. The symbol dydu is a single symbol ( as is dudx ), and we cannot eliminate du from the product dydududx in the Chain Rule. Hint : Recall that with Chain Rule problems you need to identify the inside and outside functions and then apply the chain rule.
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