Question

The derivative of sinx . cosx​

Answer 1

Answer:

The derivative of sinx is cosx and the derivative of cosx is −sinx .

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Answer 2

$\huge \underline \bold \pink </p><p>{♡hlo mate♡:-}$

The product rule can be used to differentiate any function of the form #f(x) = g(x)h(x)#. It states that #color(red)(f'(x) = g'(x)h(x) + g(x)h'(x)#.

The derivative of #sinx# is #cosx# and the derivative of #cosx# is #-sinx#.

#f'(x) = cosx(cosx) + sinx(-sinx)#

#f'(x) = cos^2x - sin^2x#

Use the identity #cos2x = cos^2x - sin^2x#:

#f'(x) = cos2x# Ans..

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