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How do I find the co-ordinates and nature of the stationary points on a curve?

The stationary points on a curve are the exact point of a maximum, minimum or point of inflection. They can be defined as points where the gradient, dy/dx = 0. You can show this by drawing a tangent to the c...
ML
Answered by Matthew L. • Maths tutor
7087 Views

x = 3t - 4, y = 5 - (6/t), t > 0, find "dy/dx" in terms of t

2t -2
TJ
Answered by Tariq J. • Maths tutor
8827 Views

Show that tan(x) + cot(x) = 2cosec(2x)

For this we have to use trignometric identities, e.g Tan(x)= sin(x)/cos(x), sin 2 (x) + cos 2 (x) = 1, 1/sin(x) = cosec(x) tan(x) + cot(x) = sin(x)/cos(x) + cos(x)/sin(x) = [sin 2 (x) + cos 2 (x)]/sin(x)cos(...
MB
Answered by Moin B. • Maths tutor
12081 Views

Why does the equation x^2+y^2=r^2 form a circle in the Cartesian plane?

The general line equation in the Cartesian plane is given by a x+b y=c, where a, b, and c are given constants. This means that all (x_0, y_0) points that are situated on the line satisfy the equation a x_0+b...
BS
Answered by Bálint S. • Maths tutor
16490 Views

FP2 (old specification) - How do you find the derivative of arsinhx?

y = arsinhx We can rearrange this to be 2) sinhy = x, which makes this challenge slightly easier as we know that the derivative of sinhx is coshx and vice versa.Knowing the above we get coshy(dy/dx) = 1, we ...
LM
Answered by Lois M. • Maths tutor
7840 Views