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What is the derivative?

The derivative is a measure of the rate of change of f(x) as x varies. Alternatively it is the gradient of the tangent at a specific point of the graph. There are different rules for finding the derivativ...

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Answered by Theano X. Maths tutor
3029 Views

How to find the derivative of sqrt(x) from first principles?

Graphical explanation leading to the expression that we need to develop (Lim(a->0) (sqrt(x+a) - sqrt(a))/(a). Then we need to understand how to rearrange a fraction involving square roots (multiplicati...

OD
Answered by Olivier D. Maths tutor
1535 Views

How do you find the tangent of an angle in a right-angled triangle?

Divide the length of the opposite side by the length of the adjacent side

LW
Answered by Lydia W. Maths tutor
2893 Views

How to work out a fraction of an amount?

The key rule is to divide the amount by the denominator and multiply by the nominator. E.g:

3/5 of 45£

divide by the denominator 45/5=9

multiply by the nominator  9*3=27

AB
Answered by Augustina B. Maths tutor
2743 Views

Given: h=3t^2, work out the value of h when t=5.

We have been told that t = 5 in this particular question. So our first step is to simply 'swap out' the t in the above equation for the number 5, as we have been told they mean the same thing. This gives ...

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Answered by Alexander D. Maths tutor
8244 Views

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