Second-order derivatives Find the second derivative of y = \csc x.

tabita57i

tabita57i

Answered question

2021-10-13

Second-order derivatives Find the second derivative of y=cscx.

Answer & Explanation

estenutC

estenutC

Skilled2021-10-14Added 81 answers

Step 1
It is given that y=cscx.
Step 2
Obtain the first derivative of y as shown below:
y=cscx
y=ddx(cscx)
y=cscxcotx
Obtain the second derivative of y as shown below:
y=ddx(cscxcotx)
=[cscxddx(cotx)+cotxddx(cscx)]
=[cscx(csc2x)+cotx(cscxcotx)]
=cscx+2csc3x
Jeffrey Jordon

Jeffrey Jordon

Expert2022-11-14Added 2605 answers

Answer is given below (on video)

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