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How do you find the derivative of # y =10sinx+100#?

Answer 1

Charles Arocha

We can look at your function as:

#y=cf(x)+b#

Where #c# and #b# are constants.

Thus:

#y'=cf'(x)+0#

So:

#y'=10cosx#

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Answer 2

Scarlett Allison

To find the derivative of ( y = 10\sin(x) + 100 ), you can use the following steps:

Identify the derivative rules for each term.
Apply the derivative rules to find the derivative of each term.
Combine the derivatives of individual terms to find the derivative of the entire function.

Using these steps, the derivative of ( y = 10\sin(x) + 100 ) is:

[ \frac{dy}{dx} = 10\cos(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.