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Differentiate the following function u = Cos(x3)

 u = Cos(x3)

To differentiate this function we will use the chain rule. Firstly we will set x3  to another variable name such as v. So now v = x3 . Lets differentia...

SB
Answered by Serena B. • Maths tutor
3237 Views

Prove that the sqrt(2) is irrational

To do this we will assume sqrt(2) is rational, a fraction, which means: 21/2 = m/n; m,n belong to integers. Also, m/n is an irreductible fraction

JC
Answered by Joao C. • Maths tutor
3338 Views

Expand and simplify 2(a + 3) + 5(a – 1)

Firstly we will start by expanding the brackets. We will do 2a + 23 for the first bracket,  then we will do 5a + 5(-1) for the second bracket which will give us 2a + 6 + 5a - 5. We will ...

SB
Answered by Serena B. • Maths tutor
4439 Views

Factorise and solve x^2 - 8x + 15 = 0

In order to solve a quadratic equation by factorisation you must first find the two numbers which add up to - 8 and multiply to get 15. We can do this by trial and error - first listing all of the pairs o...

LM
Answered by Lucy M. • Maths tutor
4519 Views

Differentiate y = 7(x)^2 + cos(x)sin(x)

This question uses a combination of standard differentiation and the product rule. The second part of the equation cos(x)sin(x) is the product of two funtions so the product rule must be used. Product rul...

EC
Answered by Edward C. • Maths tutor
3513 Views

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