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How do I differentiate?

If we have the curve y=x 3 +3x 2 -7x+5, to differentiate it we firstly multiply x by its power, and then reduce the power by one.Therefore x 3 will differentiate to 3x 2 , 3x 2 will go to 6x and -7x will go ...
WH
Answered by William H. • Maths tutor
5027 Views

How do you solve the equation 3(6x + 2) = 10 + 4x?

Begin by expanding the brackets of the LHS:3(6x + 2) = 18x + 6 3 * 6x = 18 x and 3 *2 = 6The equation now reads:18x + 6 = 10 + 4xSubtract 4x from both sides14x + 6 = 10Subtract 6 from both sides14x = 4Divide...
JT
Answered by James T. • Maths tutor
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Expand these Brackets

Done using Whiteboard
CT
Answered by Charlotte T. • Maths tutor
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Given y = 2x(x^2 – 1)^5, show that dy/dx = g(x)(x^2 – 1)^4 where g(x) is a function to be determined.

y=2x(x 2 -1) 5 dy/dx= 2(x 2 -1) 5 + 2x*10x(x 2 -1) 4 dy/dx=(x 2 -1) 4 (2x 2 -2+20x 2 )dy/dx=(x 2 -1) 4 (22x 2 -2)
KS
Answered by Katie S. • Maths tutor
9191 Views

A small stone is projected vertically upwards from a point O with a speed of 19.6m/s. Modelling the stone as a particle moving freely under gravity, find the length of time for which the stone is more than 14.7 m above O

We want to find out the time during which the stone is above a certain point. As this stone is thrown upwards we know that the first time it passes this point it will be on its way up and when it passes the ...
AG
Answered by Aaron G. • Maths tutor
15061 Views