WebEach derivative contains a common group, termed as an acyl group (R-C=O), which is attached to a heteroatom They can all be synthesized from the “parent” carboxylic acid They are all formed through a nucleophilic substitution reaction On hydrolysis (i.e. reaction with H _ {2} 2 O), they all convert back to their parent carboxylic acid WebFind the Derivative - d/dx f (x) = fifth root of x. f (x) = 5√x f ( x) = x 5. Use n√ax = ax n a x n = a x n to rewrite 5√x x 5 as x1 5 x 1 5. d dx [x1 5] d d x [ x 1 5] Differentiate using the Power Rule which states that d dx [xn] d d x [ x n] is nxn−1 n x n - 1 where n = 1 5 n = 1 5. 1 5x1 5−1 1 5 x 1 5 - 1. To write −1 - 1 as a ...
3.2: Using Derivatives to Describe Families of Functions
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Finding Points of Inflection from First Derivative Graph
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