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What is Differentiation?

We use differentiation to generally find the rate of change for a function. This could also be interpreted as finding the gradient of a curve. e.g. y = x ^ 2. If you consider the curve, it has a different gr...
JP
Answered by Jigar P. • Maths tutor
5263 Views

Differentiate the function y = cos(sin(2x))?

To differentiate this function you will need the chain rule - differentiating what's inside the brackets and multiplying it by differentiating what's outside the brackets. In this case sin(2x) goes to 2cos(2...
GM
Answered by Greg M. • Maths tutor
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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
3705 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
3899 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
32927 Views