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Differentiate the following, y=(2x-4)^3

dy/dx = 3(2x-4)^2 x 2 dy/dx= 6(2x-4)^2 dy/dx =24(x-2)^2
CG
Answered by Charlie G. • Maths tutor
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What marks do I need to achieve an A* grade in A-level Maths?

The A* grade in Maths is awarded to candidates who achieve an A (480 out of 600 UMS) in their overall A Level as well as achieving a combined score of 180 out of 200 UMS in modules Core 3 and Core 4 (i.e. an...
OC
Answered by Omar C. • Maths tutor
13285 Views

Given the points (6,6) and (10,8) calculate the gradient of the line passing through them and the point at which it intersects the y-axis?

To find the gradient use the formula:m = (y2-y1)/(x2-x1)Plug in values:m = (8-6)/(10-6) = 1/2Hence gradient = 1/2--Now using the equation for a line y = mx+c and point (10,8)8 = 1/2*10 + cc = 3Hence when the...
GA
Answered by Gilad A. • Maths tutor
4184 Views

Describe and explain three adaptations of succulent plants that allow them to live in hot and dry conditions.

There are many to choose from here but we'll take the two most important. Many succulents such as cacti have needles instead of leaves. This reduces the amount of water lost via transpiration meaning that th...
HP
Answered by Henry P. • Maths tutor
6024 Views

Integral between 0 and pi/2 of cos(x)sin^2(x)

The key point in here is noticing that the derivative of sin(x) is cos(x). That way, if we rename sin(x) as u , i.e u:=sin(x), the derivative will be du=cos(x)dx. So, inside the integral, instead of having c...
ML
Answered by Maria L. • Maths tutor
6329 Views