Practice problem
Find the derivative of f(x)f(x)f(x). f(x)=(x)(ln(x)+3)f(x)=(\sqrt x)(\ln(x)+3)f(x)=(x)(ln(x)+3)
f′(x)=12x32f'(x)=\frac{1}{2x^{\frac32}}f′(x)=2x231
f′(x)=ln(x)+52xf'(x)=\frac{\ln(x)+5}{2\sqrt{x}}f′(x)=2xln(x)+5
f′(x)=ln(x)2x+12f'(x)=\frac{\ln(x)}{2\sqrt{x}}+\frac12f′(x)=2xln(x)+21
f′(x)=12x(1+2x)f'(x)=\frac{1}{2\sqrt{x}}\left(1+\frac2x\right)f′(x)=2x1(1+x2)
Type a concept, like “slope” or “photosynthesis”.
