Differentiate the function y=4sqrt(x)

Can re-write function as y=4x1/2Then follow the standard steps for differentiating a power. Take the 1/2 down and multiply by the number in front of the x, in this case 4, to give 2. Now reduce the power we started with by 1, bringing 1/2 down to -1/2.This gives an answer of 2x-1/2, which can be rewritten as 2/x1/2

CW

Related Maths A Level answers

All answers ▸

Find the equation of the tangent to the curve y = 3x^2(x+2)^6 at the point (-1,3), in the form y = mx+c


I don't understand integration by parts - can you explain it please?


How can I calculate the maximum value of the compound angle formulae Rsin(x+a) and Rcos(x+a)?


What actually are sin, cos and tan?