Search over 10,000 free study notes

x^2 - 8x - 20

(x - 10)(x+2)

(Explanation and helping understanding) Remember the last 2 numbers must multiply to equal the last number in the question and add together to equal the middle nu...

To begin answering this question create a small grid

put 5 on the left hand side and put 2x and -6 seperately at the top of the grid

then you can multiply 5 by 2x to gain 10x and multiply 5 ...

y=5x

The change in Y over the change in X gives the differential of 5x

As the power of 'x' is 1, this is brought down and multiplied by 5 and the power of x is 1-1 = 0. Therefore, the power ...

x^x=e^x*ln(x)

So  d/dx (x^x) = d/dx (e^x*ln(x))

By chain rule, we get     d/dx (xln(x))e^xln(x) 

Then by product rule we get...

Distance = 4 x 85 = 340km

Average speed = 340 / 5 = 68 km/h