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How do I differentiate an algebraic expression? (e.g. y=3x^4 - 8x^3 - 3) [the ^ represents x being raised to a power]

y=3x 4 -8x 3 -3 Let's say we want to calculate dy/dx. For a term A x n , the differential with respect to x is An x n-1 . For a constant value, we can say that n=0 because x 0 =1. This means that when you di...
PC
Answered by Patrick C. • Maths tutor
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Elemental analysis of a carbohydrate X showed the sample contained 48.7 % carbon and 8.1 % hydrogen by mass. Find the empirical formula of X.

These sorts of questions can look difficult, but if you learn the steps needed to solve them then they are all very similar. Step 1: Since we are told that X is a carbohydrate, we know that the only other co...
JB
Answered by Jack B. • Chemistry tutor
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Find the coordinates of the stationary points of the curve 3x=y+6x+3

First, straight away from reading the question you know this question will involve differentiating the function with respect to x so immediately you want to re-write the equation in terms of y which in this ...
JS
Answered by James S. • Maths tutor
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What is the difference between direct and representative democracy

Definitions: short, sharp key works to gain the marks- especially for the 5 mark definition questions in GPO1/GPO2 Direct Democracy: In a direct democracy people vote on policies directly such as the Brexit ...
PS
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Using a demand and supply diagram, explain how an increase in taxes on domestic fuel will affect the domestic fuel market

(draw demand and supply diagram showing a shift to the left of the supply curve and a new equilibrium) explanation:indirect tax increases the cost to the producer this means they can no longer sell the same ...
SR
Answered by Sarah R. • Economics tutor
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