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Let f(x)=x^x for x>0, then find f'(x) for all x>0.

A common misconception from many students when tackling this problem is that they think the usual 'power rule' works. However, in this case the power is itself a function of x and not just a constant, so ...

MF
2099 Views

Integrate the function f(x)=3^x+2 with respect to x

First note that a=eln(a) and ln(ab)=bln(a)By substituting a=3x we get a=3x=eln(3^x)=exln(3), and hence f(x)=exln(3)

CC
Answered by Christian C. Maths tutor
3187 Views

Find the maximum value of 2sin(x)-1.5cos(x)

Put the equation in the form Rsin(x-a) (=Rsin(x)cos(a)-Rcos(x)sin(a)). Looking at the original equation Rcos(a) = 2 and Rsin(a) = 1.5. Tan(a)=1.5/2 and R^2= 2^2 +1.5^2. Therefore R = 2.5 and a = 0.6435.Th...

TA
Answered by Tom A. Maths tutor
8266 Views

'Vietnam was Johnson's war' Discuss

There are multiple ways this question can be answer.              Either ‘yes’ it was his war                             Or              ‘No’ it wasn’t Both have to look at it from a president standard  ...

AH
Answered by Amy H. History tutor
2584 Views

What things should I look for when approaching a piece of unseen poetry in an exam?

Unseen poetry comes up in both GCSE and A Level exams, although your approach will of course differ depending on which you are sitting. Some key things you might look out for are:Structure/form: how does ...

MB
4425 Views

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