Find the derivative: y = 2 - 3x/sqrt(4x + 1)
Your typing means this:
\(\displaystyle y \;=\; 2 \;-\; \frac{3x}{\sqrt{4x + 1}}\)
Based on your work below, I think the given equation is this:
y = (2 - 3x)/sqrt(4x + 1)
In other words, the numerator is 2 - 3x, and we show that by typing grouping symbols around it.
y ' = (0 - 3)(4x + 1)^(1/2) - (2 + 3x)[1/2(4x + 1)^-1/2](4) This looks mostly correct.
The factor (2 + 3x) should be (2 - 3x).
The denominator is missing; I mean, the entire expression above should be over [sqrt(4x + 1)]^2
