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Differentiate y=x^3+ 7x-ln(2)

Dy/dx=3x 2 +7
SJ
Answered by Shrey J. • Maths tutor
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Prove that the square of an odd number is always 1 more than a multiple of 4

In order to prove this we can write a general expression of an odd number in terms of n, e.g - 2n+1Square this 'odd number': (2n+1)^2, therefore you can write it as (2n+1)(2n+1), then expand (multiply out) t...
BH
Answered by Ben H. • Maths tutor
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(This was taken from a GCSE past paper)A bag of 24 spoons costs £19.95. A box of 18 forks costs £15.55. Bags and boxes cannot be split. Gregor decides to buy the same number of spoons as forks. He places an order to buy the smallest number of each

We are finding the Highest common multiple (HCM) of two numbers in this question. To find the HCM, first the prime factors have to be found, this means writing each number as a multiplication of the smallest...
TN
Answered by Tom N. • Maths tutor
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Solve the equation: 5(x + 2) = 45

Start by writing down the question5(x+2) = 45The aim is to "free" or solve for the variable "x", we work from outside the brackets. First step is to get rid of the 5 on the left hand side...
BS
Answered by Brandon S. • Maths tutor
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solve the simultaneous equations: 2x-3y = 16 and x + 2y = - 6

First we need to subtract a variable from another to eliminate a variable from both equations. To do this we need to make either the X value the same or the Y value the same.We can do this by multiplying the...
DR
Answered by Dana R. • Maths tutor
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