Final answer:
To find dy for the function y = sqrt(3x + 4), we can use the chain rule. dy/dx = 3/(2*sqrt(3x + 4)).
Step-by-step explanation:
To find dy for the function y = sqrt(3x + 4), we can use the chain rule. The chain rule states that if y = f(g(x)), then dy/dx = f'(g(x)) * g'(x). In this case, f(u) = sqrt(u) and g(x) = 3x + 4. Taking the derivative of f(u) and g(x), we get f'(u) = 1/(2*sqrt(u)) and g'(x) = 3. Plugging these values into the chain rule formula, we get dy/dx = (1/(2*sqrt(3x + 4))) * 3 = 3/(2*sqrt(3x + 4)). Therefore, dy = 3/(2*sqrt(3x + 4)) * dx.