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 ▸How to find the stationary point of y= x^2-108x^(1/2)+16 and determine the nature of the stationary point?
How would I integrate the indefinite integral x^2 dx?
differentiate the equation f(x) = 3x^2+5x+3
Why does inverse sin,cos or tan of numbers have multiple answers