Top answers

Differentiate x^(1/2)ln(3x) with respect to x.

First we notice that this is a product of two functions of x, so we are going to use the product rule. Recall (uv)'(x)=u'(x)v(x)+v'(x)u(x). Let u(x)=x^(1/2) and v(x)=ln(3x). We need to find u'(x) and v'(x). ...
AR
Answered by Aidan R. • Maths tutor
11459 Views

Can you please help with Question 5 on the 2008 MAT?

Certainly. The nth student (Sn) changes the state of every nth locker - i.e. the multiples of n. If changed an odd number of times, the locker is open -- if even then closed. i. how many closed after 3rd stu...
CA
Answered by Carlo A. • MAT tutor
2416 Views

Write 0.72727272 as a fraction in its simplest form

a = 0.72727272 100a = 72.72727272 100a - a =72.72727272-0.72727272 = 72 = 99a a =72/99 so 0.72727272 = 72/99 0.72727272 refers to 0.72 where the 72 is recurring.
JH
Answered by James H. • Maths tutor
17206 Views

What did Xiao Ming do when he went to the park? 小明和爸爸昨天下午去公园踢球 A: sailing B: football C: Running D: picnic

B: football name/with whome/when/where/did what
ZS
Answered by Zhiqi S. • Mandarin tutor
3579 Views

Identify the stationary points of f(x)=3x^3+2x^2+4 (by finding the first and second derivative) and determine their nature.

f'(x)=9x 2 ​+4x, and f''(x)=18x+4 (derivatives) f'(x)=0 at x=0 or x=-4/9 when x=0 f''(x)>0 therefore a minimum value, when x=-4/9 f''(x)<0 and thus a maximum value.
SO
Answered by Sieff O. • Maths tutor
4281 Views