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Maths
A Level

If f(x) = x^2 - 3x + 2, find f'(x) and f''(x)

f'(x) is the first derivative of f(x) therefore f'(x) = 2x - 3

To find f''(x) simply take the derivative of f'(x), therefore f''(x) = 2

Answered by Peter O. Maths tutor
3748 Views

Differentiate e^2x

=2e^2x 

Rule: f(x)= e^kx

         f'(x)= ke^kx

Answered by Tesni F. Maths tutor
3918 Views

What are radians and what are they used for?

Radians are a unit of measurement. They work in the same way that we use ounces to measure mass or metres to measure length. Radians are however used to measure angles, the more common unit of measuring a...

Answered by Linfan S. Maths tutor
4087 Views

Given that y = ((4x+3)^5)(sin2x), find dy/dx

First of all, we have to use the product rule, since two things are multiplied together.  The product rule states that d/dx (u*v) = vu' + uv'

Let u = (4x+3)5  v = sin(2x)

Now, to ...

Answered by Juozas N. Maths tutor
2743 Views

Solving Quadratic Equations

x^2+5x+6=0 When solving quadratic equations our goal is to revert back into the form (x+a)(x+b) from the form ax^2+bx+c Thus we need to have a method when completing this: A good method in this case is th...

Answered by Anoop N. Maths tutor
3060 Views

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