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Find the derivative of the following function: f(x) = x(x^3 + 2x)

f(x) becomes f'(x)1) First multiply out the brackets (by adding the indices) = x^4 + 2x^22) Then differentiate this. The indices moves to the front and multiplied by the number before the x. The indices is t...
SS
Answered by Shamailla S. • Maths tutor
3566 Views

Solve 3x - 5 < 16

When solving inequalities, you should treat them like solving any regular equation that you are used to (ie. whatever operation you perform on the left hand side, you must perform on the right hand side also...
MR
Answered by Mylan R. • Maths tutor
5224 Views

Express 2 ln(3) + ln(11) as a single natural logarithm

To simplify this equation we need to understand the rules of logarithm equations. When we add two natural logs (ln) together, we must actually multiply the contents of the brackets. For example:ln(5) + ln(9)...
JK
Answered by Jordan K. • Maths tutor
10728 Views

Factorise a^2 + a - 30

This is a quadratic equation in the form ax 2 +bx+c. As the three terms don't have a common factor we cannot factorise this into one bracket, instead we will factorise it into two. In order to do this we mus...
IG
Answered by Isabella G. • Maths tutor
5632 Views

why does graphene conduct electricity?

usually covalent structures cannot conduct electricity but graphene is one of the exceptions and this is due to its structure and bonding. It is a giant covalent 2D molecule, hexagonal in shape with 3 covale...
CN
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