Find the derivatives of the following functions. f(x)=x^{2}\cos h^{2}3x

Chaya Galloway

Chaya Galloway

Answered question

2021-04-11

Find the derivatives of the following functions.
f(x)=x2cosh23x

Answer & Explanation

BleabyinfibiaG

BleabyinfibiaG

Skilled2021-04-13Added 118 answers

Step 1
The given function is:
f(x)=x2cosh2(3x)
We know that,
dcoshxdx=sinhx
dsinhxdx=coshx
Step 2
Differentiating the above function with respect to x we get,
df(x)dx=dx2cosh2(3x)dx
df(x)dx=2xcosh2(3x)+x2[2(3)cosh(3x)sinh(3x)]
df(x)dx=2xcosh2(3x)+6x2cosh(3x)sinh(3x)
df(x)dx=2xcosh(3x)[cosh(3x)+3xsinh(3x)]
Hence the answer.

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