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The curve C has equation x^2 + 2xy + 3y^2 = 4. Find dy/dx.

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*(dy/dx)...
CB
Answered by Chris B. • Maths tutor
12969 Views

How can i add algebraic fractions, such as 1/(1-x) + 2/x

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 abou...
MW
Answered by Matthew W. • Maths tutor
4826 Views

When given an equation in parametric form, how can you figure out dy/dx?

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 dt/d...
DJ
Answered by Dave J. • Maths tutor
3896 Views

Expand and simplify the following equation: 6(x-3) - 4(x-5) = 0

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 this c...
SH
Answered by Sophia H. • Maths tutor
11619 Views

How do I know which SUVAT equation to use?

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 link...
NV
Answered by Nikul V. • Maths tutor
21870 Views