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Differentiate 3x^(3) + 7x^(2) -4x

Using the formula for differentiation: if y=a x N then dy/dx= N a*x N-1 apply this to each term in the equation given; first term: dy/dx= 9x 2 second term: dy/dx= 14xthird term: dy/dx= - 4Combining all three...
MW
Answered by Michelle W. • Maths tutor
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Express (3-5x)/(x+3)^2 in the form A/(x+3) + B/(x+3)^2

A needs to be multiplied up by x+3 to make the fraction have the same in denominator as the other expressions. Then you need to equate the numerators. 3 - 5x = A(x+3) + B You can gain two simultaneous equati...
Answered by • Maths tutor
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Solve x for (x)/(4x-1) = (6x+5)/(12x+31)

First, we must cross multiply to remove the fractions, to do this, we multiply each numerator by the opposite denominator: (x)(12x+31) = (6x+5)(4x-1) . Then, we multiply out the brackets to get: 12x 2 + 31x ...
EI
Answered by Elsie I. • Maths tutor
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The quadratic equation (k+1)x^2 + (5k - 3)x + 3k = 0 has equal roots. Find the possible values of k

We know the discriminant (b^2 - 4ac) must be equal to zero for an equation to have equal roots (think about the fact that the square root of this is taken in the quadratic equation). So we can form the equat...
MI
Answered by Molly I. • Maths tutor
7292 Views

'There are two adults and two children in the Adams family. They buy an all-day travel ticket for each person. The price is £8 for each adult and £5 for each child. They also buy 4 ice-creams at £1.95 each. How much do they spend in total?'

So the Adams family consists of 2 adults and 2 children. We know that all-day ticket for an adult is £8. Therefore the price for 2 adults would be:£8 x2 = £16. We also know that an all-day ticket for a child...
MB
Answered by Mukilan B. • Maths tutor
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