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How do you avoid making silly mistakes in a maths exam?

In my experience practice makes perfect and the best way to do this is to immerse yourself with as much past papers as you can do. Maths is maths so don't be afraid to check other exam boards for their past ...
JA
Answered by Josh A. • Maths tutor
3259 Views

The function f is defined by f(x)= 2/(x-3) + x - 6 . Determine the coordinates of the points where the graph of f intersects the coordinate axes.

If you look at a set of x,y-axes, and imagine any curve going through both axes (you don't have to be able to imagine what this graph of f looks like just yet). Now imagine the part of the graph that crosses...
NT
Answered by Natalie T. • Maths tutor
5127 Views

A curve C has the equation y=5sin3x + 2cos3x, find the equation of the tangent to the curve at the point (0,2)

Firstly, you need to differentiate the curve y. Using the equation dy/dx of sinkx= kcoskx, you need to differentiate 5sin3x first. So, as k=3 in this example, the answer is 5(3cos3x) which is equal to 15cos3...
Answered by • Maths tutor
4903 Views

If x^2 + 4x + 3xy + y^3 = 6, find the first derivative.

This is an example of implicit differentiation. We differentiate with respect to x, remembering that y is a function of x. The terms without a 'y' differentiate as normal by the power rule nx n-1 . This is t...
TD
Answered by Tutor461339 D. • Maths tutor
3667 Views

A curve C with an equation y = sin(x)/e^(2x) , 0<x<pi has a stationary point at P. Find the coordinates ofP?

Firstly notice that to find a stationary point of a curve with an equation, the best first step is often to differentiate the expression. Then solve the equation for x when dy/dx = 0. In this case the y equa...
RE
Answered by Rufus E. • Maths tutor
6950 Views