\(\(v=\frac{3}{2}\pi r^{5}b\textrm{ , assume b is a constant}\)\)¶

\(\(\frac{dv}{dr}=\frac{15}{2}\pi r^{4}b\)\)¶

\(f(x)=2x^3-2x^2+5\) \(m=f'(x)=6x^2-4x\) \(m=f'(1)=6(1)^2-4(1)\) \(m=6-4\) \(m=2\)

\(y-y_1=m(x-x_1)\) \(y-5=m(x-1)\) \(y-5=2(x-1)\) \(y=2(x-1)+5\) \(y=2x-2+5\) \(y=2x+3\)