28 for each of the following functions determine all of its stationary

Question

28. For each of the following functions, determine all of its stationary points (within the given domain). Then classify each stationary point as either a local maximum, a local minimum or a saddle point. g_{1}: \mathbf{R} \rightarrow \mathbf{R}, g_{1}(x)=x\left(2 x^{2}-9 x+12\right) g_{2}:(-2,2) \rightarrow \mathbf{R}, g_{2}(x)=\cos \left(\pi x^{2}\right)