If f(x) = sin(2x)/(x^2) find f'(x)

As f(x) is in the form of u(x)/v(x) we can apply the rule that f'(x) = (u'(x)*v(x) - v'(x)*u(x))/(v(x)2), pulled from the C3 formula booklet.
If u(x) = sin(2x) then u'(x) = 2cos(2x).
If v(x) = x2 then v'(x) = 2x.
Hence, f'(x) = ((2cos(2x)*x2) - (sin(2x)*2x))/(x4)
(Will be easier to explain on a whiteboard w/ standard visualisation of functions)

LR

Related Maths A Level answers

All answers ▸

What is 7 to the power of 8? (


Differentiate Y = 4X/(X^2+5) and give dy/dx in its simplest form


Use Integration by parts to find ∫ xsin3x dx


How do I find the stationary points on the curve y = f(x) = x^3+6x^2-36x?