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What is differentiation used for in the real world?

Differentiation is very helpful in the real world, in many different fields. In terms of business and economics, being able to derive maximum and minimum values of certain functions can prove extremely usefu...
DO
Answered by Daniel O. • Maths tutor
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Differentiate sin(x)*x^2

Notice that (sin(x))'= cos(x) and (x^2)' = 2x We use the product rule to differentiate, by noticing the expression is a product. so (fx gx)' = f'x gx + fx*g'x substituting in we get (sin(x)*x^2) = cos(x)*x^2...
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Answered by Drenusha G. • Maths tutor
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What is a synapse?

a junction between 2 neurones
IG
Answered by India G. • Biology tutor
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Find x when 2x^2-4x-6=0

Factorise 2x 2 -4x-6=0 2(x 2 -2-3)=0 -> 2(x+1)(x-3)=0 split factors up 2=0 , (x+1)=0 and (x-3)=0 x+1=0 -> x = -1 x-3=0 -> x = 3
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Answered by India G. • Maths tutor
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Find the point of intersection of the lines y=2x-7 and 4y-2=3x

Substitute y into 4y-2=3x 4(2x-7)-2=3x -> 8x-28-2=3x -> 8x-3x=28+2 -> 5x=30 -> x=30/5 -> x=6 subsitute x into y=2x-7 y=2(6)-7 -> y=12-7 -> y=5 Point = ( 6 , 5 )
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Answered by India G. • Maths tutor
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