Product rule of derivatives
[DOC File]New Chapter 3
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2 Product and quotient rules HW Derivative Techniques - 2. 3 Derivatives of exponential and log functions HW Derivative Techniques - 3 . 4 Derivatives of Trig Functions HW Derivative Techniques - 4. 5 Rates of Change HW Derivative Techniques - 5 . 6 Practice **QUIZ** HW Derivative Techniques - 6. 7 The Chain Rule
[DOC File]DERIVATIVES
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Product Rule. If both f and g are differentiable at x, then the product is differentiable at x and the derivative is . Quotient Rule. If both f and g are differentiable at x and , then the quotient is differentiable at x and the derivative is . Example 1: Use the rules of derivatives to find the derivative of . Example 2: Use the rules of ...
[DOC File]Calculus 1 Lecture Notes, Section 2.3
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Worksheet HW 2.4B: “Differentiation of Trigonometric Functions & Nested Product/Quotient/Chain Rules” 1-23 all
[DOCX File]Calculus I
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NOTE: To differentiate exponentials use the following rule: If then (i) (ii) (iii) Use the Chain Rule. Let (iv) Simplify using rules of indices (v) Use rule of logs to simplify (vi) Use Chain Rule. Let . Differentiate the following functions: Use rule y = ln x ( (vii) Use the product rule: If , then . Let and (viii) Use Chain Rule…
[DOC File]Section 3
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5.2 The Product and Quotient Rule. If f(x) and g(x) are both differentiable, then the derivative of can be found by the product rule. (Table 5.2 The Product Rule. Ifand exist, and , then (Example 5.5 Find the derivative of the following functions. (a) (b) (Solutions (a) can be thought of aswhere and . Then
Product Rule for Derivatives: Proof | Waterloo Standard
Product Rule. Quotient Rule. Derivatives Video 3. Popper 11. Application Problems. Appendices. Increasing/Decreasing functions Definition of Derivative. The Derivative of a function, f (x), is the . …
[DOC File]AP Calculus Assignments: Derivative Techniques
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Section 2.3: Computation of Derivatives: The Power Rule Big Idea : There is a “trick” (called the power rule) to computing the derivative of a power function quickly and easily without going through the limit definition of the derivative.
[DOC File]Derivatives - UH
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Use the quotient rule to find these derivatives. d dx 4 x 2 -1 x+3 . d dx sin x cos x . Putting it all together… Combo time! Now we have two very useful tools, let’s put them together to find the derivative of some more complex functions. Try it! Find the derivative of the following functions.
[DOCX File]Product Rule
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The longer way to do this is by using the product rule: ex. Suppose the curves y1 = x2 + ax + b and y2 = cx − x2 have a common tangent line at the point (1, 0). Find the constants a, b, and c. Both curves have a common point at (1, 0). Therefore, when x = 1, both y-values are 0. Hence, 0 = 1 + a + b and 0 = c − 1.
[DOC File]Simple Rules for Differentiation
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The Product Rule. If and are differentiable at , then . ... We want to derive a rule for the derivative of a composite function of the form in terms of the derivatives of f and g. This rule allows us to differentiate complicated functions in terms of known derivatives of simpler functions.
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