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 ▸Solve 2^(3x-1) = 3
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 .
How do I do implicit differentiation?
Given a fixed parabola and a family of parallel lines with given fixed gradient, find the one line that intersects the parabola in one single point