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Maths
A Level

How can we remember the difference between differentiation and integration?

Integration is the inverse of differentiation. I.e. for differentiation of linear expressions we multiply the coeifficient with the power of the unknown and then subract 1 from the power. Integration i...

MN
Answered by Madeha N. • Maths tutor
4829 Views

A curve has equation y = 4x + 1/(x^2) find dy/dx.

As in every case dy/dx can be found by differentiating each term individually with respect to x.

Let's first tackle the 4x term.

As always the ...

CH
Answered by Callum H. • Maths tutor
10091 Views

Solve x^2 + 8x +3 = 0 by completing the square.

Using the completing the square method:

1. Notice (x+4)2 = x2 + 8x +16 which differs from the question by a constant

TD
Answered by Tutor21349 D. • Maths tutor
22304 Views

Integrate 4x^3 + 6x^2 +4x + 3

Each term is integrated according to the formula:

axb --> (a/(b+1))x(b+1)

A constant k integrates to kx 

Since this is indefinite inte...

EH
Answered by Emma H. • Maths tutor
5424 Views

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
7371 Views

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