Question

Y=square root of 13x
What is the derivative of y?

Answer 1

f(x) = √13x = √13 * √x = √13 * x^0.5
f'(x) = (√13 * 0.5) * x^-0.5 = ((√13)x^-0.5)/2 = √13 / 2x^0.5 = √13 / 2√x

Hence, the derivative of y is √13 / 2√x

Answer 2

`y=√(13x)\\ y'=(1)/(2√(13x))\cdot13\\ y'=(13)/(2√(13x))`