Plz help me

$28$ And $32.$

$($a$)$ Find the intervals of increase or decrease.

$($b$)$ Find the local maximum and minimum values.

$($c$)$ Find the intervals of concavity and the inflection points.

$($d$)$ Use the information from parts $($a$)-($c$)$ to sketch the graph. You may want to check your work with a graphing calculator or computer.

$25.f(x)=x^3-3x^2+4$

$26.f(x)=36x+3x^2-2x^3$

$27.f(x)=\frac{1}{2}{x}^4-4x^2+3$

$28.g(x)=200+8x^3+x^4$

$29.g(t)=3t^4-8t^3+12$

$30.h(x)=5x^3-3x^5$

$31.f(z)=z^7-112z^2$

$32.F(x)=x\sqrt[\phantom{2}]{6-x}$

$33.C(x)=x^{\frac{1}{3}}(x+4)$

$34.f()=2cos+co{s}^2,02$