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 ▸

Solve the simultaneous equations x + y = 1 , x^2 -2xy+y^2=9


What are the first 4 non-zero terms in the binomial expansion of (2+3x)^6


A curve has parametric equations x = 1- cos(t), y = sin(t)sin(2t). Find dy/dx.


[FP2] Solve: 3 cosh x - 4 sinh x = 7