Find dy/dx when y = 4x^1/2

dy/dx means you have to differentiate the equation provided: y = 4x1/2When we differentiate with respect to x we must multiply the power by the coefficient: 1/2 = power by 4 = coefficient which equals 4 * 1/2 = 2We also have to reduce the power by 1: therefore we do 1/2 - 1 = -1Therefore dy/dx = 2x-1/2 Multiplying the coefficient by the power and reducing the power by 1 is a universal rule when dealing with simple differentiation.

CB

Related Maths A Level answers

All answers ▸

Find the integral on ln(x).


Given that log_{x} (7y+1) - log_{x} (2y) =1 x>4, 0<y<1 , express y in terms of x.


if f(x) = 7x-1 and g(x) = 4/(x-2), solve fg(x) = x


Differentiate sin(x^3) with respect to y