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How do you take the derivative of a^x ?

There are two ways you can take the derivative of a^x. 1) Let y = a^x now we're trying to find dy/dx 2) ln(y) = xln(a) take logs of both sides and use log rules 3) (dy/dx)*(1/y) = ln(a) take the derivative o...
EA
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How do I calculate the gradient of a linear (straight) graph?

To find the gradient of a straight line we can use the change in the X and Y directions. The gradient (Slope) of a straight line is defined as : ​Grad = (Change in Y) / (Change in X) This is the basis of a v...
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Answered by Nathan A. • Maths tutor
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The price of a book is £4. In a sale the price is reduced by 30%. Work out the sale price.

The full price (100%) is £4The sale price is 30% less. So the sale price is 70% of the original price.£4 * 0.7 = £2.80
EJ
Answered by Elakkeya J. • Maths tutor
5576 Views

These are the selling prices of 5 houses in 2007: £145 000, £170 000, £215 000, £90 000, £180 000. Work out the mean selling price.

There are different types of averages: the MEAN, the MEDIAN and the MODE. The mean average is where we add all the numbers up together and divide by the amount of numbers provided. So for this case, we would...
KH
Answered by Kate H. • Maths tutor
5080 Views

How do I work out the area of different shapes?

You know that when working out the area of a square or rectangle you do width X height. We know a triangle is always half of a square or rectangle, so you work out the width and height and then divide it by ...
AC
Answered by Alexandra C. • Maths tutor
4016 Views