Practice problem
Find the derivative. y=arcsin(2x−x4)y=\arcsin(\sqrt{2x-x^4})y=arcsin(2x−x4)
y′=1x2−xy'=\frac1{x\sqrt{2-x}}y′=x2−x1
y′=2x−x2x−1y'=\frac{\sqrt{2x-x^2}}{x-1}y′=x−12x−x2
y′=−12x−x2y'=-\frac{1}{\sqrt{2x-x^2}}y′=−2x−x21
y′=−1y'=-1y′=−1
Type a concept, like “slope” or “photosynthesis”.