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To differentiate y with respect to x, you have to multiply each x term by their respective power and then decrease their power by one. For example, 4x2 differentiated is 2 x 4x2-1 = ...
Whenever you see an integral with a product as the integrand, check if integration by parts works.That is, Int(v(x)*u'(x)) = u(x)v(x)-int(u(x)v'(x))So you should see that its easier ...
This is a simple question, but it's important to not get confused when thinking about how the laptop's price gets reduced. We know the price starts at £600, and that it goes down by 7% each week. If somet...
Let y = f(x). The gradient of the tangent to the curve at a stationary point is equal to 0. To find an equation for the gradient of the curve, differentiate f(x) to get dy/dx. Because we are looking for s...
These equations would best be solved using the substitution method, in this case the easiest way would be substituting x. For the first equation we need to rearrange it to get x on one side so we have x=2...
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