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There are 2 methods used for finding the gradient of a line in 2D space, depending on whether it is a straight line or a curve.
To find the gradient a straight line you must first take the equation ...

To answer this question we need to first decide what the question is asking for. In this case the question is asking for the first and second differential of a given function. If we have a function f(x) =...

Using the chain rule of dy/dx=dy/du * du/dx we label sin(x) as u. Now we differentiate u with respect to x, getting cos(x). Then we differentiate u² , getting 2u. Mutiplying these together gets...

So the first part of this question is regarding your knowledge and understanding on the subject matter. You should know that for real and equal roots, (b² - 4ac)=0. (For real and unequal roots,...

For this we must expand the bracket:5(x+3)= 5x+15and then we rearrange for 'x':x<9