Using first principles find the differential of x^2

Lim((f(x+h)-f(x)))/h= lim(((x+h)2 -x2)/h)=lim((h2 +2xh)/h) as h tends to 0 the limit becomes 2x

Related Maths A Level answers

All answers ▸

The cubic polynomial f(x) is defined by f(x) = 2x^3 -7x^2 +2x+3. Express f(x) in a fully factorised form.


Find the area under the curve y=xsin(x), between the limits x=-pi/2 and x=pi/2.


Solving 2tan(x) - 3sin(x) = 0 for -pi ≤ x < pi


A block mass m lies on an incline rough plane, with coefficient of friction µ. The angle of the block is increased slowly, calculate the maximum angle of the slope that can be achieved without the block slipping.