Practice problem
Find the second derivative of f(x)f(x)f(x). f(x)=x2(1−x)f(x)=\frac{x^2}{(1-x)}f(x)=(1−x)x2
f′′(x)=2(1−x)3f''(x)=\frac{2}{(1-x)^3}f′′(x)=(1−x)32
f′′(x)=−(12x+2x+1)f''(x)=-\left(12x+\frac{2}{x+1}\right)f′′(x)=−(12x+x+12)
f′′(x)=2x−x2(1−x)2f''(x)=\frac{2x-x^2}{(1-x)^2}f′′(x)=(1−x)22x−x2
f′′(x)=−2f''(x)=-2f′′(x)=−2
Type a concept, like “slope” or “photosynthesis”.
