📘 calculus, algebra, vector algebra

1. Problem 22: Find $\frac{dy}{dx}$ if $y = (\sin x)^x + \sin^{-1} \sqrt{x}$.\n\n2. To differentiate $y = (\sin x)^x$, use logarithmic differentiation:\n\n$$y = (\sin x)^x \implies

1. **Problem:** Express the volume $V$ of a cube as a function of the area $A$ of its base. Step 1: The base of a cube is a square with side length $s$.