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Firstly, what are we trying to achieve by differentiating a function? Differentiation allows us to compute the rate of change of a function at any point along ...

The chain rule is most commonly seen in Leibniz's notatio...

The maximum/minimum of a function are the points where the first derivative (the gradient) of the function is zero.

So with a function of the form y=f(x), you must take the derivative (dy/dx) ...

If we have the 2 lines

line 1 - 3y=4x+2 and line 2 - 6y=7x+3

Firstly we would look for when the y's or x's are multiples of each other in this case the y's are multiples of each other ...

From the double angle formula for cosine, we know that cos(2x)=cos²(x)-sin²(x). Also, we know that sin²(x)+cos²(x)=1. So by substituting the second formula ...