211k views
0 votes
Find y'' if y= 9csc x

User Sean Kenny
by
5.0k points

1 Answer

4 votes

Answer:

y" = csc(x)[9cot²(x) - csc²(x)]

Explanation:

Step 1: Define

y = 9csc(x)

Step 2: Find 1st derivative

y' = -9csc(x)cot(x)

Step 3: Find 2nd derivative

y" = 9csc(x)cot(x)cot(x) + -csc(x)csc²(x)

y" = 9csc(x)cot²(x) - csc³(x)

y" = csc(x)[9cot²(x) - csc²(x)]

User TacheDeChoco
by
5.0k points