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What is Differentiation?

Differentiation is finding the derivative of an equation. The easiest way to understand it is to look at examples and then practice on more complex questions. These for examples show the three basic principl...
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Answered by Zoé M. • Maths tutor
3358 Views

Simplify fully (x^2 + 3x)/(4x + 12)

You should begin by factorising the numerator and denominator, in order to determine what would go into both parts of the fraction.As you can see, x 2 and 4x have 'x' in common, and 3x and 12 have '3' in com...
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Answered by Matthew J. • Maths tutor
4483 Views

Simplify completely: 3x^2 - 14x +5 /2x^2 -10x

Ideally you're aiming to find common factors on both sides of the fraction that cancel out. Firstly we can break this question down into two bits. First bit is factorising 3x^2 -14x+5. Factorizing this would...
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Answered by Diya B. • Maths tutor
3247 Views

Write x^2 + 6x - 10 in the form ((x+a)^2)+b?

To find the value of a divide the coeffecient of x. Here this would be 6/2 which = 3. If we were to expand (x + 3)^2 + b this would give us:x^2 + 3x +3x + 3^2 +b which simplifies to x^2 + 6x + 3^2 + b. If we...
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Answered by Gunalini G. • Maths tutor
15102 Views

How do I differentiate a pair of parametric equations?

I would guide the student through the process, as this will be far more beneficial to their learning rather than just telling them the answer. So first I'd ask what would happen if they differentiated them i...
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Answered by Benjamin E. • Maths tutor
3416 Views