Find the 3rd derivative of the function y=f(x) given by the equation y^{2}=2x.

cistG

cistG

Answered question

2021-05-22

Find the 3rd derivative of the function y=f(x) given by the equation y2=2x.

Answer & Explanation

Khribechy

Khribechy

Skilled2021-05-23Added 100 answers

Step 1 
Please start differentiating and calculating the derivatives right now.
Step 2 
y2=2x 
2y dy  dx =2 
 dy  dx =1y 
d2y dx 2=1y2 dy  dx =1y2×1y=1y3 
d3y dx 3=3y4 dy  dx =3y4×1y=3y5 
Step 3 
Now, y2=2x 
Thus, y5=(2x)52 
Therefore, the 3rd derivative =3(2x)52

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?