MATH 132 Lecture Notes - Lecture 5: To-3, Differentiable Function, Power Rule
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If y n u= where u is a differentiable function of x and n is a real number, then. For the functions used in the next few sections the functions used will be limited to those in which u x= and so u = . Using the definition of the derivative, f f x lim. 0 h h h lim 1 1 h. Constant multiple rule d dx n cu c d dx n u c nu n. Sum and difference rule d dx d dx g d dx f g f f g. Find the equation of the tangent line to the graph of f x x= Find the equation of the tangent line to f x. Determine the points, if any, at which the tangent line to f x. 588 - 590 1 10 all; 12 33 mult of 3; 45 53 odd.