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Assuming we are given that x = f(t) and y = g(t), we first differentiate x with respect to t to obtain dx/dt. Then, we differentiate y with respect to t to obtain dy/dt. Much like fractions, we can find d...

Start off by dealing with the brackets by expanding. The brackets around a part of the equation imply that the entire content of the brackets will be affected by the factor outside of the brackets, in thi...

SUVAT equations link the variables S (displacement), U (initial speed), V(final speed), A(accelerations), and T (time), for situations where there is constant acceleration. Each of the 5 SUVAT equations ...

Since there is only two terms it is a case of seeing what both terms have in common. Both share a 2 and an x so having this an the coefficient to the bracket gives 2x(x-7)

To begin with it is important to identify which method of differentiation is required here, since there are two terms multiplied together you would initially choose the product rule, differentiating (4x-3...