i have derivered the equation 340sinwt in respect of t to 340wcoswt then i need 2 do the 2nd derivative i did the and got -340w^2*sinwt when iput t=0.005 in the equation the final answer should be 340 but i get a negative number in the equation w=100Pie
To find the maximum of a fundtion you find the critical values of the first derivatve by setting it equal to zero.
If we can use the 2nd derivative test to see if this is a max or a min so we get
Now if k is even is negative so its a max, if k is odd is postive so its a min
Plugging our critical value into the f we get
From our prevoius observation we know that max occurs when k is even and the min when k is odd.
I hope this helps.
Good luck.