Unit 3 Assignment 1 Value Chain Analysis
Why might one prefer to use the chain rule for dealing with high degree functions, such as (x +1)^9? Here is an example of why you might want to choose the chain rule when solving high degree function. The following determines the derivative of the given function using the binomial formula and grinding through the solution. f(x) = (x+ 1)9 step 2. Expand it and compute the result. f(x) = (x+1)(x+1)(x+1)(x+1)(x+1)(x+1)(x+1)(x+1)(x+1) f(x) = x9 + 9x8 + 36x7 + 84x6+ 126x5 + 126x4 + 84x3 + 36x2 + 9x + 1 Done with calculator Step 2. Determine the derivative using anxn-1 approach for each term. f ‘ (x) = 9x8 + 72x7u + 252x6 + 504x5 + 630x4 + 504x3 + 252x2 + 72x + 9 f ‘ (x) = 9( x8 + 8x7 + 28x6 + 56x5 + 67x4 + 56x3 + 56x2 + 8x + 9) …show more content…
Even my calculator had problems going this far. The chain rule as applied to the same function is as follows: Step 1 Rewrite f(x) = (x-1) 9 in terms of h(x) and
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