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A-level - How to differentiate e^x where x is more complicated?

For exampe: e 4x^3 The way to look at this is, the differential of e 4x^3 = the expression itself ( e 4x^3 ) multiplied by the differential of whatever e is to the power of.In this example the differential o...
JC
Answered by Jake C. • Maths tutor
3821 Views

Find an equation for the straight line connecting point A (7,4) and point B(2,0)

In this question we will use the fact we know a straight line can be written in the form (y-y 1 )=m(x-x 1 ). Where m is the gradient and (x 1 ,y 1 ) is a point on the line. We already have a point A so can s...
HM
Answered by Hannah M. • Maths tutor
4794 Views

An triangular prism has base xcm, height (x+4)cm and length 4xcm. Find the volume of the prism in terms of x. Find the volume when x=2cm.

This question combines knowledge of volume equations with using unknown variables. We know the volume of a prism is the area of the face multiplied by the length. The first step would be to find the area of ...
MP
Answered by Megan P. • Maths tutor
3313 Views

Were economic factors the driving force behind imperial expansion during the Age of 'New Imperialism' c1870-1914?

Historians such as J Hobson, and Marxist writers eg Lenin, have all argued that economic factors were the driving force behind imperial expansion. The effects of the industrial revolution and the consequent ...
TB
Answered by Thomas B. • History tutor
2550 Views

What factor was more important to the failure of the League of Nations: the economic depression of the 1930s or the Abyssinia Crisis?

Factors arguing for the depression: UNdermined spirit of goodwill and cooperation that the Leagure depended on. For example, the collapse of world trade intensified the need for economic resources (evident i...
CF
Answered by Charlie F. • History tutor
5753 Views