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Maths
A Level

What is the derivative of ln(x)?

First let y=ln(x).

Recall that the exponential function, ex, is defined as the inverse of the logarithmic function, ln(x).

To make x the subject of the formula, u...

Answered by Benjamin G. Maths tutor
6320 Views

Why is it that sin^2(x) + cos^2(x) = 1?

Let's start with the definition of sin(x) and cos(x). We're going to use rather than x here to avoid confusion, but the idea is exactly the same.

Tak...

Answered by John T. Maths tutor
5261 Views

How do I sketch a graph of a polynomial function?

To sketch a polynomial function (a polynomial is a function involving powers of x, for example y = x3 + 2x2 - 13x + 10):

1. Start by differentiating the function to ...

Answered by Rose A. Maths tutor
7956 Views

Find dy/dx for y=5x^3-2x^2+7x-15

Step 1: To differentiate an equation there is a simple rule to follow. For y=axn dy/dx=anxn-1. so for an example y=x3, dy/dx=3x2. Therefore we just apply thi...

Answered by Matthew T. Maths tutor
12083 Views

How do you integrate by parts?

When you are faced with an integral which is a product, such as x.cos(x), you may be able to integrate it by parts. The statement of the integration by parts is that:

∫u(dv/d...

Answered by Tim W. Maths tutor
5635 Views

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