Hi can someone help me with these following application of differentiation

like please kindly explain step by step like how to start and what formula you guys use cause I'm super lost :(

I seriously need help

Really hope you don't mind helping me and explaining it to me slowly.... thank you in advance

A wooden beam has a rectangular cross section of height h and width w. The strength S of the beam is directly proportional to the product of the width and the square of the height. What are the dimensions of the strongest beam that an be cut from a round log of diameter 50 cm? 10. The graphs of a and of a function y = (x) are shown in Figure 1 and Figure 2 respectively. The graph of y= / (x) passes through (2,a) and (3,6). Without finding the equation of the function y= /(x) , determine the local maximum and minimum points on the graph of y. Leave your answers in terms of a and b. Figure 1 Figure 2 10+ 10 - -10 11. Find the point on the parabola y=x that is nearest to the point (6,3) . 12. The following extract of graph y = 3_(x-6) -+ sin(2.x) is given. Suppose that this graph 2 for x years where 3