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First of all instead ,we'll define the chain rule , thus y can be rewritten as y = f (g(x)) , where f(x) = exp (x) and g(x) = cos^2(x) + sin^2(x). Therefore let y = f(u) , dy/dx = dy/du * du/dx , which ...

To find the x coordinate of point P, we simply substitute in the value of y at P into the equation of the curve and solve for x = 4pi^2. (ii) To start, we can differentiate x with respect to y, by using t...

First, clearly write the two equations above one another, and label them (1) and (2). Rearrange the linear equation (the one with no squared variables) to make y the subject of the equation. You should ge...

To compliment Mathematics, Further Mathematics would be an ideal subject to take. It is not essential, however the additional practice would benefit your understanding of Mathematics, easing you into even...

First we must find the y coordinate of the point P: We know the x-coordinate is x1=1 so the y coordinate must satisfy the equation y1=f(1) which gives y1=-7. So we now know P is at (1,-7).

We now n...