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How do I differentiate?

If we have the curve y=x³+3x²-7x+5, to differentiate it we firstly multiply x by its power, and then reduce the power by one.Therefore x³ will differentiate to 3x²

Answered by William H. • Maths tutor

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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...

Answered by James T. • Maths tutor

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Expand these Brackets

Done using Whiteboard

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(x²-1)⁵dy/dx= 2(x²-1)⁵ + 2x*10x(x²-1)⁴dy/dx=(x²-1)⁴(2x²-2+20x²)dy/dx=(x²-1)

Answered by Katie S. • Maths tutor

8403 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 t...

Answered by Aaron G. • Maths tutor

13801 Views