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Here, we have to use implicit differentiation, along with the product rule. Remember that the product rule is (vu)' = vu'+uv'. Moving through the equation we have: x^2+2xy+3y^2 = 4 ==> 2x +2y + 2x*(d...

The trick to working out how to do this, is to remember how to add normal fractions! We know 1/8 + 3/8 = 4/8 . The point here is that IF THE DENOMINATORS ARE THE SAME, we can add the numerators. So what a...

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 ...