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The gradient of a line in the form y = ax + b, where a and b are some numbers, is the number a.
So we need to get the equation 3x + 5y = 7 into the above...
First we want to calculate the derivative of y. To do this we use the product rule:If we rewrite y as y = uv, then dy/dx = vdu/dx + udv/dx.Here, we have u = x and v = cos(x).That means du/dx = 1 ...
As soon as you see a question asking you to integrate the square of sin, cos or tan, your first approach should be to use trigonometric identities and double angle formulasAnswered by Kyna F. • Maths tutor410961 Views
When integrating a long chain of functions, we can integrate each term seperately and combine them. Let us now integrate:∫21x6dx = 21∫x6dx. Using the Power Rule [∫xadx = (...
Write as y=uv u=x v=ex
du/dx=1 dv/dx=ex
Using the product rule, dy/dx=vdu/dx + udv/dx
So dy/dx=ex(1)+x(ex...
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