Find the derivative with respect to the independent variable. f(x)=9\cos x-2\sin

sklicatias 2021-11-21 Answered
Find the derivative with respect to the independent variable.
f(x)=9cosx2sinx
f'(x)=
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Expert Answer

romancemrf
Answered 2021-11-22 Author has 14 answers
Step 1
We have to find derivatives of function:
f(x)=9cosx2sinx
We know the derivatives of trigonometric ratios:
dcosxdx=sinx
dsinxdx=cosx
Step 2
So differentiating the function f(x)=9cosx2sinx with respect to 'x', we get
f(x)=9cosx2sinx
f(x)=9dcosxdx2dsinxdx
=9(sinx)2(cosx)
=9sin2cosx
Hence, value of f(x) is 9sin2cosx.
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