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

sanuluy

sanuluy

Answered question

2021-10-03

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

Answer & Explanation

komunidadO

komunidadO

Skilled2021-10-04Added 86 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)

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