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Find the equation of the tangent to the curve y^3 - 4x^2 - 3xy + 25 = 0 at the point (2,-3).

This is an example of implicit differentiation where we have to consider both the y-terms as well as the x-terms. The first step is to deal with each term on the left hand side individually. This gives us 3y...
TJ
Answered by Tanmayi J. • Maths tutor
5170 Views

Differentiate with respect to x: (6x + 7)e^x

Product Rule: dy/dx (uv) = u'v + uv' Let u = 6x+7 and v = e^x. Using simple disintegartion, u' is 6 and v' is e^x. Therefore, answer is: 6e^x + (6x +7)e^x
AR
Answered by Aisha R. • Maths tutor
4330 Views

How do you write an effective and concise introduction to a history essay in an exam?

The purpose of an introduction is to show the examiner that you: understand the question being asked, can outline the various ways of approaching said question and that you have a clear argument. To do this,...
TP
Answered by Toby P. • History tutor
5078 Views

What should I focus on specifically when analysing a play or dramatic text?

It is important to remember that any play or dramatic text will have 'non-physical' or 'literary' aspects that refer to the literature as something to be read by a reader, as well as 'physical' aspects which...
LS
11424 Views

Why did Henry VIII come into conflict with the papacy in the early 1530s?

This is a good question, and one that has multiple overlapping causes. To begin with, Henry's wishes clashed with the papacy's as he wanted to divorce Catherine of Aragon, in order to produce a legitimate ma...
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Answered by Grant D. • History tutor
6481 Views