Core 3 4.0 / 5 MathematicsCore 3A2/A-levelOther Created by: EllieCreated on: 09-04-15 17:28 In the chain rule what is dy/dx? dy/du x du/dx 1 of 29 What are the laws of natural logarithms? lna+lnb = lnab, lna-lnb=lna/b, lna^n = nlna, lne=1 2 of 29 If y = uv what is the product rule? dy/dx = u x dv/dx +v x du/dx 3 of 29 Whats the quotient rule if y=u/v (v x du/dx - u x dv/dx ) / v^2 4 of 29 Differentiate y=lnx dy/dx = 1/x 5 of 29 Differentiate y = ln f(X) dy/dx = f ' (x)/ f(x) 6 of 29 Describe the cycle of differentiating trigonometry starting at sin x sin x -> cos x -> -sin x -> - cos x 7 of 29 What happens when you integrate e^(ax) dx? 1/a * e^(ax)+ c 8 of 29 What happens when you integrate 1/x dx? ln(x+c) 9 of 29 What happens when you integrate f ' (x)/ f(x)? ln(f(x)+c) 10 of 29 How do you integrate by parts? uv - integrated (v du/dx) dx 11 of 29 Describe the transformation f(x)+a a movement of a to the right 12 of 29 Describe the transformation f(x+a) a movement of a down 13 of 29 Describe the transformation of af(x) a vertical stretch with a scale factor of a (a times y coordinates) 14 of 29 Describe the transformation f(ax) a vertical stretch by scale factor of 1/a 15 of 29 Describe the transformation -f(x) a reflection in the x axis 16 of 29 Describe the transformation f(-x) a reflection in the y axis 17 of 29 When is a function odd? when f(-x) - -f(x) 18 of 29 When is a function even? When f(-x) = f(x) 19 of 29 In graph terms when is a function even? If its graph has a line of symmetry in the y axis 20 of 29 In graph terms when is a function odd? if its graph has rotational symmetry of order 2 about the origin 21 of 29 Describe whether sin and cos are odd or even sin is odd and cos is even 22 of 29 What is a co domain? all the possible outputs of a mapping 23 of 29 What is a domain? All the possible inputs of a mapping 24 of 29 What is a range? a set of images for a particular set of objects for a mapping 25 of 29 When is something one to many? when an object can be mapped to 2 or more images 26 of 29 When is something one to one? when an object can be matched to only one image 27 of 29 What is arc sin arc cos and arc tan? sin ^(-1) cos ^(-1) and tan ^(-1) 28 of 29 When is a graph periodic? If it has a repeating pattern 29 of 29

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