'Gradient function' presentation slideshows

Topic 7

Topic 7. Rates of Change II. Rates of Change. Rules for differentiation including. evaluation of the derivative of a function at a point (SLE 3,4) interpretation of the derivative as the instantaneous rate of change (SLE 1,2,5,10)

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Using AutoGraph

Using AutoGraph. A Self Help Guide. Getting Started. Entering Equations Setting Up Axes Basic Plotting Options Using Constants Drawing Gradient Graphs Using The Objects Menu 3D Graphs Statistical Graphs. You can enter equations in a range of formats explicit (e.g. y = x 2 )

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Core 3 Differentiation

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Calc

Differentiation

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Mathematics with calculus mac301

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Differentiation Lesson 1

Differentiation Lesson 1. Chapter 7. Gradient = . We need to be able to find the gradient of a straight line joining two points:. Find the gradient of the line joining (4, -11) and (-2, 7). Describe the way the gradient is changing on these graphs:. Finding the gradient of a curve.

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Differentiation Lesson 1

Differentiation Lesson 1. Chapter 7. Gradient =. We need to be able to find the gradient of a straight line joining two points:. Find the gradient of the line joining (4, -11) and (-2, 7). Describe the way the gradient is changing on these graphs:. Finding the gradient of a curve.

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Differentiation from First Principles

Differentiation from First Principles. Learning Objective: to understand that differentiation is the process for calculating the gradient of a curve. The rate of change can be calculated from first principles by considering the limit of the function at any one point. Rates of change. 40.

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The stationary points of a curve are the points where the gradient is zero

The stationary points of a curve are the points where the gradient is zero. e.g. A local maximum. x. x. A local minimum. The word local is usually omitted and the points called maximum and minimum points. e.g.1 Find the coordinates of the stationary points on the curve. Solution:. or.

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Jeopardy

Jeopardy. Differentiation 10. Integration 10. Vectors 10. Probability 10. Probability 2 0. Differentiation 2 0. Integration 2 0. Vectors 2 0. Probability 3 0. Differentiation 3 0. Integration 3 0. Vectors 3 0. Vectors - 10. Back to Menu.

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Tangents and Normals

Tangents and Normals. Chapter 9D. Tangents and normals. As mentioned earlier in this chapter, the derivative f '( x ) is actually the gradient function.

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x= cos (t) y=sin(t)

x= cos (t) y=sin(t) . Sketch the graphs of cos (t) and sin(t) [0<t<2 ? ] Copy & complete the table: Sketch the graph of the equations [with coordinates ( x,y ) from table ].

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Gradient

Gradient. A gradient describes the slope of a line. The gradient of a straight line is constant . But on a curve the gradient is different at different points on the curve. The G radient F unction. A gradient function describes the gradient of a graph.

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