Derivative of e rule

    • [DOC File]DERIVATIVES

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      Definition: The derivative of a function f at a point a, denoted by f ′(a), is. provided that the limit exists. If we denote y = f (x), then f ′(a) is called the derivative of f, …

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    • [DOC File]AP Calculus Assignments: Derivative Techniques

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      c. Hypothesize a general rule about the derivative of a continuous function f and the invertibilty of f. d. Use calculus to prove that the function f(x) = x3 + 4x – 5 has an inverse function. e. Use calculus to prove that g(x) = x3 – 4x – 5 is not invertible (unless we restrict the domain).

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    • [DOC File]Section 3

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      The Derivative of a Constant. If where is a constant, then . In other words, the derivative or slope of any constant function is zero. Proof: Example 1: If for all , then for all . We can also write . The Power Rule. If is a positive integer, then for all real values of , .

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    • [DOC File]Derivatives

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      Multiply and use the Sum Rule. The derivative is, then, Here’s some room for the steps: Now let’s solve multiply both sides by the square root of x Popper 10, Question 2 More shortcuts: Product Rule! If f(x) is a string of factors, you may use the Product Rule. For the simplest case,

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    • [DOC File]New Chapter 3

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      When applying the Chain Rule, it is helpful to think of the composite function as having two parts: an inner part and an outer part. Then, the derivative of is the product of the derivative of the outer function (at the inner function u = g(x) ) and the derivative of the inner function at x. (Example 5.11 Find the derivative …

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    • [DOC File]Rule - Baruch College

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      If you have to use the product rule, quotient rule, chain rule, or an exponential e then the integral is a good candidate for u-substitution. * Remember that whatever you select as your u values, the derivative of that u must also exist in the integral *

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