If, f(x) = sin (x + a)
then f'(x) = ?
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Answer:
f'(x)=cos(x+a)
Step-by-step explanation:
hope its helpful
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f(x)=∣sinx∣
Since sinx is a continuous function ∣sinx∣is also a continuous function over R
f′(x)=sinx∣sinx∣×cosx(dxd∣x∣=x∣x∣)
x→nπ+limsinx∣sinx∣×cosx=x→nπ+limsinxsinx×cosx
=−x→nπ+limcosx
x→nπ−limsinx∣sinx∣×cosx=x→nπ−limsinxsinx×cosx
=x→nπ−limcosx
Since Right limit is not equal to left limit
Limit at nπ does not exist (where n is any integer).
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