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What does derivative mean? The derivative of a function the represents the gradient of the function for each value of x. Remark that the gradient of a function at point (x,f(x)) is equal to the gradient o...

Being a quadratic equation in the following form,the simplest way to solve would be through the quadratic formula which goes as follows:
The first step to solving is therefore to identify a, b, c, wi...

f(x) = 7xe^xUsing the product rule: [f'(x)=u*(dv/dx)+ v*(du/dx)]Let u=7x and v=e^xTherefore, du/dx=7 and dv/dx=e^xHence, f'(x) = 7xe^x + 7e^x

1. Begin by setting up the problem with a diagram. Yu should draw a right angled triangle, with currently unknown lengths.2) Calculate the distance travelled for the two parts of the journey. Use Dista...

This is a quadratic equation. So we know the shape will look something like this:
(draw 'smiley face' shape. Plot some points showing for x=2, y = 4. For x =3, y =9. Show symmetry: a negative number ...