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))/g2(x)
it is important to remember which part you have to differentiate first: let's pick our f(x)/g(x) again
the trick I used was thinking that in the derivative the denominator has to be squared (g2(x)), so it gets "tired". Therefore, in the first part of our numerator, f(x) will be derived while g(x) rests and remains the same, and to that we will subtract f(x) multiplied by the derivative of g(x)
RP
Related Maths A Level answers
All answers ▸How to perform integration by substitution. (e.g. Find the integral of (2x)/((4+(3(x^2)))^2)) (10 marks)
Show (2-3i)^3 can be expressed in the form a+bi where a and b are negative integers.
Show that: [sin(2a)] / [1+cos(2a)] = tan(a)
The curve C has equation y = f(x) where f(x) = (4x + 1) / (x - 2) and x>2. Given that P is a point on C such that f'(x) = -1.