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Question
If we plot a curve of y= “rate of change of sinx” with respect to x then to which of the following functions, the curve will match?
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Solution
The correct option is A cos x
As already discussed that the rate of change of a function is given by its derivative. So plotting the curve of rate of change of sinx with respect to x is same as plotting the curve of its derivative on the x – y coordinate system. And derivative of sinx is nothing but cosx. So the resulting curve will be the same as of cosx.
As already discussed that the rate of change of a function is given by its derivative. So plotting the curve of rate of change of sinx with respect to x is same as plotting the curve of its derivative on the x – y coordinate system. And derivative of sinx is nothing but cosx. So the resulting curve will be the same as of cosx.
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