find d/dx (sinx.cosx) using differentiation.... please help me.......
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Explanation: The product rule can be used to differentiate any function of the form f(x)=g(x)h(x) . It states that f'(x)=g'(x)h(x)+g(x)h'(x) . The derivative of sinx is cosx and the derivative of cosx is −sinx .
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Step-by-step explanation:
Let y=sinx.cosx
or, y=21×sin2x.
Now differentiating both sides with respect to x we get,
dxdy=21×2×cos2x
or, dxdy=cos2x.
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