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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
1263 Views

Why am I not good at Spanish?

First of all you need to know that learning a language is not easy, so do not worry if sometimes you are struggling with it. It is important to practice as much as you can, to do the homework in the targe...

FC
2511 Views

Given a + b = 20, find the maximum value of ba^2.

In the question we are given that a + b = 20 where a and b are positive integers. Remember this.First let y = a^2 b. This is a good starting point as we have an equality now which we can mess with.We want...

SB
Answered by Samuel B. MAT tutor
3614 Views

Given a differential equation (*), show that the solution curve is either a straight line or a parabola and find the equations of these curves.

This question is takes from the 2008 STEP I paper (Question 8). We are first given (dy/dx)^2 + x dy/dx + y = 0 where y is a function of x. Differentiating both sides of the equation with respect to x, giv...

SB
Answered by Samuel B. STEP tutor
1917 Views

'A multimillion-pound industry has grown up concerned with manipulating Google rankings through a process called “search engine optimisation”.' What is suggested by this sentence? (Official LNAT Practice Paper)

Section A of the LNAT is multiple choice. The possible answers for this question from an official LNAT Practice Paper are:(a) There is too much information on Google. (b) Students can’t distinguish betwee...

TD
Answered by Tutor118911 D. LNAT tutor
1594 Views

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