Given that y=x/(2x+5) find dy/dx.

Using the quotient rule: Let u=x and v=2x+5 then du/dx= 1 and dv/dx=2 Hence dy/dx=[(2x+5)x1- (2x)]/(2x+5)2             =5/(2x+5)2

SB

Related Maths A Level answers

All answers ▸

The curve C has equation y=(2x-3)^5, the point P lies on C and has coordinates (w, – 32), find (a) the value of w and (b) the equation of the tangent to C at the point P in the form y=mx+c , where m and c are constants.


Prove that n is a prime number greater than 5 then n^4 has final digit 1


Find the area under the curve y=xexp(-x)


Integrate x*cos(x)