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f(x) = (4x + 1)/(x - 2). Find f'(x)

Quotient rule: (vu' - uv')/v^2 u = 4x + 1 u' = 4 v = x - 2 v' = 1 Input into formula: [(x - 2)(4) - (4x + 1)(1)](x - 2)^2 Simplify: [4x - 8 -4x - 1]/(x - 2)^2 = -9/(x - 2)^2
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Answered by Salah S. • Maths tutor
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How do I differentiate something in the form f(x)/g(x)?

To differentiate the quotient of two functions f(x)/g(x) you can use the quotient rule, the formula of which is: (f'(x)*g(x)-f(x)*g'(x))/g 2 (x) it is important to remember which part you have to differentia...
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Answered by Riccardo P. • Maths tutor
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Solve 5x - 7 = 3x + 2, to find the value of x

x = 4.5 Rearrange the equation, so that like terms are on the same side: 5x - 3x = 2 +7 2x = 9 Then to find x, divide 9 by 2 x = 4.5
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Answered by Suzy A. • Maths tutor
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Solve the inequality 3x ≤ 4x+5

So I would begin by minusing 5 from both sides and that will give you 3x - 5 ≤ 4x. Then we want to gather our x's onto one side, so I would '-3x' from both sides which leaves you with - 5 ≤ 4x - 3 x, so you ...
RA
Answered by Reni A. • Maths tutor
8426 Views

Do the following vector equations intersect? l = (1 + μ)i + (2 - μ)j + (2μ - 5)k, and m = 2λi + 3j + (2 + λ)k.

Firstly we must appreciate that if there is an intersection between l and m, this means that there exists a point that occurs on both lines. Therefore if there is an intersection, it is when l = m .So we mus...
HD
Answered by Harry D. • Maths tutor
8298 Views