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A curve is given by the equation y = (1/3)x^3 -4x^2 +12x -19. Find the co-ordinates of any stationary points and determine whether they are maximum or minimun points.

Stationary points - dy/dx =0dy/dx = x 2 -8x +12 ( differentiating- early a level skill). Solving x 2 -8x +12=0 gives x=6, x=2 (solving quadratics- gcse skill). Subbing these values back into the original equ...
JC
Answered by Joseph C. • Maths tutor
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Find the integral of arctan(x)

This is a complex question, the proof of which is unlikely to be asked at maths A-level, however the process behind the proof practices fundamental knowledge for the subject. If a student can successfully fo...
EN
Answered by Ellie N. • Maths tutor
8224 Views

How do I find a stationary point on the curve?

Well that depends on the curve, but if it is a quadratic, we can do it with the following method. We know that differentiating the equation of the curve will give us the equation of the tangent to that curve...
NR
Answered by Natalia R. • Maths tutor
3277 Views

Find dy/dx when y = 4x^1/2

dy/dx means you have to differentiate the equation provided: y = 4x 1/2 When we differentiate with respect to x we must multiply the power by the coefficient: 1/2 = power by 4 = coefficient which equals 4 * ...
CB
Answered by Christopher B. • Maths tutor
10836 Views

How do you sketch r=theta? I don't really understand polar coordinates.

First, make sure that the tutee understands using radians, and get them to do some examples of swapping between radians and degrees to ensure familiarity.Then explain to the tutee that they already intuitive...
GH
Answered by Georgina H. • Maths tutor
3855 Views