Find the derivatives of the following functions. f(x)=x2cos⁡h23x

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Find the derivatives of the following functions.  f(x)=x2cos⁡h23x

BleabyinfibiaG · Accepted Answer

Step 1  The given function is:  f(x)=x2cos⁡h2(3x)  We know that,  dcos⁡hxdx=sin⁡hx  dsin⁡hxdx=cos⁡hx  Step 2  Differentiating the above function with respect to x we get,  df(x)dx=dx2cos⁡h2(3x)dx  df(x)dx=2xcos⁡h2(3x)+x2[2(3)cos⁡h(3x)sin⁡h(3x)]  df(x)dx=2xcos⁡h2(3x)+6x2cos⁡h(3x)sin⁡h(3x)  df(x)dx=2xcos⁡h(3x)[cos⁡h(3x)+3xsin⁡h(3x)]  Hence the answer.

Find the derivatives of the following functions. f(x)=x2cos⁡h23x

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