Home > Calculus > Intuitive Approach to the derivative of y=sin(x)

How to differentiate y= sin (#-5x^2-8x+2#) ?

Answer 1

William Abdalla

See explanation.

The function is a composition of #2# functions, so to differentiate it you have to use the Chain rule.

The rule says that:

So in the given example you have:

#[sin(-5x^2-8x+2)]^'=# #=cos(-5x^2-8x+2)*(-10x-8)#

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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.

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