What is the derivative of #sin(sin(x))#?

Answer 1

#d/dxsin(sinx)=cos(sinx)*cosx#

The rule says that the derivative of the sine of a function is the cosine of the function multiplied by the derivative of the function,

#therefore d/dxsinu(x)=cosu(x).(du)/dx#,

and so the result follows.

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Answer 2

The derivative of sin(sin(x)) with respect to x is cos(x) * cos(sin(x)).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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