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The following problems require the use of the quotient rule. In the following discussion and solutions the derivative of a function h(x) will be denoted by or h'(x Applications of differentiation include: Finding the slope (or equation) of the tangent line to the graph of a function at a point. Finding the slope or equation of the tangent line to the graph of an equation at a point (using implicit differentiation) Locating absolute or local extrema on a graph (using critical points)

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Uses of Differentiation A-Level mathematics section looking at the uses of differentiation, stationary points, maximum and minimum points etc 100-level Mathematics Revision Exercises Differentiation and Applications. These revision exercises will help you practise the procedures involved in differentiating functions and solving problems involving applications of differentiation. Worksheets 1 to 15 are topics that are taught in MATH108. Worksheets 16 and 17 are taught in вЂ¦

DIFFERENTIATION IN MATHEMATICS CLASSROOMS Mike Ollerton discusses the wider implications of differentiation in the mathematics classroom L earning is messy. Prove that if the curve $y = x^3 + px + q$ is tangent to the x-axis, then $$4p^3 + 27q^2 = 0$$ I differentiated $y$ and obtained the value $3x^2 + p$. If the curve is

## MATHEMATICS FOR ENGINEERING DIFFERENTIATION TUTORIAL

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MATHEMATICS FOR ENGINEERING DIFFERENTIATION TUTORIAL 1 - BASIC DIFFERENTIATION This tutorial is essential pre-requisite material for вЂ¦ The following problems require the use of the quotient rule. In the following discussion and solutions the derivative of a function h(x) will be denoted by or h'(x

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Differentiation A-Level Maths revision looking at calculus and an introduction to differentiation, including definitions, formulas and examples. 2009-06-27В В· Uses of Differentiation Increasing and Decreasing Functions. An increasing function is a function where: if x 1 > x 2, then f(x 1) > f(x 2) , so as x

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How do you find a rate of change, in any context, and express it mathematically? You use differentiation. Tutorials in differentiating logs and exponentials, sines Applications of differentiation include: Finding the slope (or equation) of the tangent line to the graph of a function at a point. Finding the slope or equation of the tangent line to the graph of an equation at a point (using implicit differentiation) Locating absolute or local extrema on a graph (using critical points)

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