Differentiate sin(2x)/x^2 w.r.t. x
Quotient Rule:d(u/v)/dx = (vu' - uv')/(v2)u = sin(2x) => u' = 2cos(2x)v = x2 => v' = 2x=> (2x2cos(2x) - 2xsin(2x))/(x4)Product Rule:d(uv)/dx = vu' + uv'u = sin(2x) => u' = 2cos(2x)v = 1/x2 = x-2 => v' = -2x-3=> 2x-2cos(2x) - 2x-3sin(2x)
VL
Related Maths A Level answers
All answers ▸What are the necessary conditions for a random variable to have a binomial distribution?
(a) By using a suitable trigonometrical identity, solve the equation tan(2x-π/6)^2 =11-sec(2x-π/6)giving all values of x in radians to two decimal places in the interval 0<=x <=π .
Is the function f(x)=x^3+24x+3 an increasing or decreasing function?
How do I write the function 3cosθ+4sinθ in the form Rsin(θ + α), where R and α are positive constants?