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How does the product rule for differentiation work

The chain rule works so that if you have y=f(x)g(x), where f(x) and g(x) are functions of x, dy/dx = f'(x)g(x) + f(x)g'(x)
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Answered by Jesse P. Maths tutor
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how do I solve a quadratics equation

Take for example, the equation 13a + 6a 2 = −6 rearrange the questions into the form ax 2 +bx+c=0 6a 2 + 13a + 6 = 0 method 1: cross-multiplication method you use the cross multiplication method to find the ...
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Answered by Helen W. Maths tutor
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A is a function of P . It is known that A is the sum of two parts, one part varies as P and the other part varies as the square of P . When P = 24 , A = 36 and when P = 18 , A = 9. Express A in terms of P .

Let A = aP + bP2 , where a and b are constants. Sub. P = 24 , A = 36 , 24a + 576b = 36 2a + 48b = 3 ………… (1) Sub. P = 18 , A = 9 , 18a + 324b = 9 2a + 36b = 1 ………… (2) Solving (1) and (2) a=-5/2 b=1/6 ∴A=-5/...
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Answered by Chun Yin L. Maths tutor
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Show that n^2 -n - 90 = 0

This is the full question: There are n sweets in a bag. 6 sweets are orange. The rest of the sweets are yellow. Hannah takes a sweet out of the bag at random. She eats the sweet and then takes another at ran...
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Answered by Dylan N. Maths tutor
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Solve the simultaneous equation: 6x+y = 27 3x-2y = 6

To work out simultaneous equations, the aim is to remove one letter from the equations, i.e. Remove the y's so you have only x's and numbers (or vice versa). One way to do this is to get the coefficient in f...
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Answered by Emily B. Maths tutor
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