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How do you multiply matrices together?

Not all matrices can be multiplied together, so the first thing to do is check it's even possible! To do this write the matrices next to each other (we'll call the first one A and the second B). If the numbe...
RG
Answered by Rachael G. • Maths tutor
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What is the first derivative of y=5z(1+2z2)? Is this a minimum, maximum or turning point?

You should not be put off by the algebraic letters used, substituting x's for z's is absolutely fine. For the first part of the question, since the equation involves the product of two terms, there are two w...
TR
Answered by Tom R. • Maths tutor
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integrate function (x^4+3x)/(x^2) with respect to x

split the integral into (x^4)/(x^2) and (3x)/(x^2) which becomes x^2 and 3*(1/x). These can now be integrated separately and added together after the integration. first integral: raise the power form 2 to 3,...
CS
Answered by Calum S. • Maths tutor
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Solve the simultaneous equations: y-2x-4 = 0 (1) , 4x^2 +y^2 + 20x = 0 (2)

Re-arrange (1) : y = 2x + 4 Square both sides: y^2 = 4x^2 + 16 Substitute (1) into (2) and simplify: 2x^2 + 9x + 4 = 0 Factorise the equation: (2x+1)(x+4) = 0 Solve for x: x = -1/2 and x = -4 Substitute thes...
GA
Answered by Giorgos A. • Maths tutor
10088 Views

How do we know that the derivative of x^2 is 2x?

To answer this we must remember that the derivative at a point on a curve, in this case x^2, is simply the value of the gradient of the line that just touches that point on the line. We can start by approxim...
JM
Answered by Jamie M. • Maths tutor
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