Find the derivatives of the functions \(\displaystyle{f{{\left({x}\right)}}}=\sqrt{{{7}+{x}{\sec{{x}}}}}\)

Deegan Chase

Deegan Chase

Answered question

2022-03-22

Find the derivatives of the functions
f(x)=7+xsecx

Answer & Explanation

SofZookywookeoybd

SofZookywookeoybd

Beginner2022-03-23Added 15 answers

Step 1
We have, f(x)=7+xsecx
First, we write the above function in power form.
f(x)=(7+xsecx)12
Step 2
By using the chain rule,
f(x)=12(7+xsecx)12ddx(7+xsecx)
=127+xsecx(secxddx(x)+xddx(secx))
=127+xsecx(secx+xsecxtanx)

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?