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express (3x + 5)/(x^2 + 2x - 15) - 2/(x - 3) as a single fraction its simplest form

(x - 5) / (x 2 + 2x - 15)
GH
Answered by George H. • Maths tutor
5593 Views

Why does the product rule for differentiating functions work?

Let k(x) = f(x)g(x) then k'(x) = limit as h --> 0 of: (h(x+h)-h(x))/h = lim (f(x+h)g(x+h) - f(x)g(x))/h We can factorise the numerator as: f(x+h)g(x+h) - f(x)g(x) =f(x+h)g(x+h) -g(x)f(x+h) + g(x)f(x+h)- f...
BV
Answered by Blaine V. • Maths tutor
3888 Views

Given that y = 16x^2 + 7x - 3, find dy/dx [3 marks]

32x + 7
BH
Answered by Bodrul H. • Maths tutor
3766 Views

Express (16x^2 + 4x^3)/(x^3 + 2x^2 - 8x) + 12x/(x-2) as one fraction in its simplest form.

Answer: 16x/(x - 2) Start with the numerator of the first fraction, 16x 2 + 4x 3 , take a factor of 4x 2 out to get 4x 2 (4 + x). Then look at the denominator of the fraction, x 3 + 2x 2 - 8x, immediately yo...
MS
Answered by Manon S. • Maths tutor
3911 Views

Is there an easy way to remember all the basic graphical transformations?

Well yes! Say you're given an equation of y=f(x), you begin by sketching the graph if plotting it is not part of the question, the reason you do this is to get an idea of what the graph looks like (turning p...
DM
Answered by Dimuthu M. • Maths tutor
4176 Views