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Differentiate the equation y = (1+x^2)^3 with respect to (w.r.t.) x using the chain rule. (Find dy/dx)

For this example it would be better to use a dummy variable (a variable just to help with solving the equation but isn't a part of the final answer). Let us say our dummy variable, t = 1+x^2. So, substitutin...
PA
Answered by Paolo A. • Maths tutor
6565 Views

How does the right angle triangle definition of sine, cosine and tangent relate to their graphs as a function of angle and to Euler's formula?

To answer this question we must understand the representation of the unit circle firstly in real coordinates and secondly in the complex plane. The unit circle is just the drawing of a circle of radius 1 in ...
CD
Answered by Caroline D. • Maths tutor
4014 Views

Integrate the expression cos^2(x).

This is a common question in C4 and the trick used to solve it is often used in sub-sections to full questions. To solve it, we must simplify the expression in terms of cos(2x) using two trigonometric identi...
RT
Answered by Rohan T. • Maths tutor
6218 Views

Find the gradient of a straight line with the points P(5,3) and Q(8,12)

First we draw a picture, to visually see what the question is asking. A simple set of coordinate-axes and notches so we can accurately put our point P and Q, though being accurate isn't important it will giv...
AG
Answered by Alexander G. • Maths tutor
4557 Views

How do I solve an equation where there are unknowns on both sides of the equation?

Golden rule: Do the Same thing to both sides of the equation Approach in 4 steps 1) Multiply out any brackets 2) Gather the like terms (Use analogy of apples and oranges) 3) Get all unknown terms to one side...
CB
Answered by Chris B. • Maths tutor
4103 Views