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Differentiate 6x^2+2x+1 by first principles, showing every step in the process.

f(x) = 6x2+2x+1, f'(x)= [f(x+h)-f(x)]/h here is the original equation and the formula used to differentiate from first principles. For this proof the limit of h is: h=0 and should be stated thr...

Answered by Thomas N. Maths tutor
5095 Views

How do I differentiate and integrate powers of x?

For differentiation, we can follow a simple method for differentiating y with respect to x. It may be the case that you have special numbers such as ex you need to differentiate and integrate b...

Answered by Terry T. Maths tutor
2366 Views

How do I find the area bounded by the curve y=-x^2+4 and the line y=-x+2?

First sketch the line and the curve on the same axes (I would show this using the whiteboard).Then we want to find the points of intersection so set the two equations equal to each other and rearrange to ...

Answered by Sarah H. Maths tutor
2666 Views

Simplify (3x^2-8x-3)/(2x^2-6x)

(3x + 1)/(2x)I would use the whiteboard to explain the process

Answered by Romeo E. Maths tutor
2144 Views

Find the roots of the equation (x^2+5x+4)/(x^2-3x+2)

Finding the root means finding the solution when the equation is equal to zero, so when (x^2+5x+4)/(x^2-3x+2)=0. This happens when the numerator x^2+5x+4 is equal to zero so we have to find the roots. To ...

Answered by Charlotte S. Maths tutor
2072 Views

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