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Can you explain the product rule when differentiating?

When differentiating the product of two functions, we need to use the product rule. The theory of it is: (fg(x))'=f'(x)g(x) + f(x)g'(x). This explanation is-differentiate the first function and leave the sec...
DC
Answered by Darren C. • Maths tutor
3796 Views

Make x the subject of the equation: 5x+1 = 2-4x

fist of all you rearrange the equation so you have the x in one side so the equation would look like this: 5x+4x = 1, then you add up the x´s and divide both sides by 9 so the solution would be x= 1/9
DA
Answered by Daniel A. • Maths tutor
4019 Views

Find the x-Coordinate of the minimum point of the function: f(x) = x^2 + 2x - 5

One of the easiest ways to find a minimum/ maximum point is using differentiation. The derivative of the function f(x) is usually written as dy/dx or f'(x) and is essentially a function that tells us the gra...
SM
Answered by Sachin M. • Maths tutor
13878 Views

The quadratic equation x^2 + 4kx+2(k+1) = 0 has equal roots, find the possible values of k.

For a quadratic equation ax^2 +bx +c = 0 with equal roots we know the discriminant b^2-4ac must equal 0. From our equation we have a=1, b=4k and c=2(k+1) so using b^2-4ac = 0 we have (4k)^2 -4 1 2(k+1) = 0 E...
AA
Answered by Ayyub A. • Maths tutor
33078 Views

I keep making silly mistakes how do I stop that?

That was always my biggest problem with my GCSE maths, I would get excited when I thought I knew what I was doing then slip up with silly mistakes. One of the best ways I found, after checking over at the en...
CW
Answered by Charlotte W. • Maths tutor
5002 Views