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Differentiate x^x

Write y = x^x , then we need to find dy/dx. Take the natural logarithm of both sides to give ln(y) = ln (x^x). Using log laws we can write the RHS as x ln (x). Now differentiate both sides with respect to...

WH
Answered by William H. STEP tutor
1349 Views

Factorise 6x^2 + 7x - 3=0

In order to solve the equation, we need to find a way to break the '7x' term in the middle that allows factorisation. We also need to consider the fact that the last term '-3x' has a minus sign. This broa...

SM
Answered by Silvia M. Maths tutor
8617 Views

How do I know whether to use the imperfect tense or the passé composé?

To begin with, it is important to understand that it is complicated telling the difference between these two tenses because in English, they are not distinct when translated so you can’t always rely on ho...

HT
Answered by Han T. French tutor
2632 Views

What is ‘cultural capital’?

This concept comes from research of Marxist theorist Bourdieu, and it can be linked (as an opposition) to meritocracy. Cultural capital theory focuses on the fact that society is dominated by middle class...

HT
Answered by Han T. Sociology tutor
7945 Views

What is the significance of soliloquy in Shakespeare’s ‘Hamlet’?

Before figuring out why it is important you need to understand what soliloquy is and that’s actually pretty easy – the Latin etymology tells you most of it, the word comes from solus (“only, sole”) + loqu...

HT
19839 Views

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