Find the derivatives of the following functions with respect to x and simplify the result. f(x)=\ln \cos h(4x)

Sinead Mcgee

Sinead Mcgee

Answered question

2021-05-11

Find the derivatives of the following functions with respect to x and simplify the result.
f(x)=lncosh(4x)

Answer & Explanation

lamusesamuset

lamusesamuset

Skilled2021-05-12Added 93 answers

Step 1
The given function is,
f(x)=lncosh(4x)
Then, differentiate by the chain rule is,
f(x)=ddx(lncosh(4x))ddx[cosh(4x)]ddx4x
=1cosh(4x)[4sinh(4x)](4)
=16sinh(4x)cosh(4x)
Step 2
Thus, the value of the differentiation is 16sinh(4x)cosh(4x)
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-21Added 2605 answers

Answer is given below (on video)

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