Final answer:
To find the slope of the tangent to the curve y = 1/√x, differentiate the equation with respect to x. The derivative of 1/√x is -1/(2x√x). This derivative gives us the slope of the tangent at any point on the curve.
Step-by-step explanation:
To find the slope of the tangent to the curve y = 1/√x, we can differentiate the equation with respect to x. The derivative of 1/√x can be found using the power rule and chain rule of differentiation. The derivative of 1/√x is -1/(2x√x). This derivative gives us the slope of the tangent at any point on the curve.