Top answers

Differentiate f(x) = 2xlnx.

Use the chain rule: f'(x) = v(du/dx) +u(dv/dx). Let u = 2x, du/dx = 2, v = lnx, dv/dx = 1/x Using this information: f'(x) = 2lnx + 2x/x This simplifies to f'(x) = 2lnx +2.
TV
Answered by Tom V. • Maths tutor
23107 Views

A simple circuit contains a battery rated at 12V, connected in series to a filament lamp with a resistance of 3 ohms. What current flows through the filament lamp?

V=IR, where V is voltage (volts), I is current (amps) and R is resistance (ohms). Since V and R are known, I needs to be found. Rearranging the equation gives: I=V/R. Inputting the values gives I=12/3. I=4A
TV
Answered by Tom V. • Physics tutor
5921 Views

Find the solutions of the equation x^2 - 2x - 8 =0

First factorise the equation into 2 sets of brackets: You can do this by looking at the constant in the quadratic, 8. Try and find 2 numbers that multiply together to make 8 (such as 4 and 2), and that can b...
TV
Answered by Tom V. • Maths tutor
8565 Views

I just arrived to the UK and I cannot keep up with my English classes. What can I do?

Listening & Speaking: get involved as much as you can with your class-mates. Learning a language by using it everyday is the quickest way to become fluent in it. Reading also helps a lot to understand sy...
GB
Answered by Giovanni B. • English tutor
4257 Views

I have neither friends or family who can speak Italian. How can I practice it?

1) Listen to music or watch movies, either original Italian movies or English movies dubbed in Italian to get used to how people speak, how they pronounce word and the intonation they use to change the meani...
GB
Answered by Giovanni B. • Italian tutor
3841 Views