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Differentiate y = 2x^3 + 6x^2 + 4x + 3 with respect to x.

Each term is differentiated according to the formula:

y = axb --> dy/dx = b*ax(b-1)

Constants differentiate to zero.

Therefore in this...

EH
Answered by Emma H. Maths tutor
7406 Views

Find the gradient of a curve whose parametric equations are x=t^2/2+1 and y=t/4-1 when t=2

Remember that the gradient of a curve is expressed as dy/dx. This can be solved by using the chain rule:

dy/dx = dy/dt*dt/dx. The dt in the denominator of the first term, and the numerato...

AS
Answered by Abigail S. Maths tutor
9033 Views

Q: How to solve the simultaneous equations 3x+2y=7 and 5x+y=14

When solving simultaneous equations you are aiming to use both equations together to find out the value of x and y for values that with ‘fit’ in each equation....

KM
Answered by Katherine M. Maths tutor
11955 Views

Make x the subject of the equation y = {2(1+x)}/(3x+1)

This is an A* grade extension GCSE maths question on rearranging equations.

The question is asking us to find an equation that would represent x. In the question...

KG
Answered by Katrina G. Maths tutor
6897 Views

Where does the geometric series formula come from?

Rearranging the terms of the series into the usual "descending order" for polynomials, we get a series expansion of:  

axn-1 +........ax + a

A basic pro...

NA
Answered by Naheem A. Maths tutor
4704 Views

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