Question

find the derivative of and find theta .x belongs to [0,\pie]
(application of derivative)​

Answer 1

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Q:-find the derivative of and find theta

f(x)=sinx+cosx

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------>>>>Here is your answer<<<<--------

$➪f(x ) = sinx + cosx$

➪f'(x)=cosx-sinx

➪f'(x)=0

cosx-sinx=0

➪cosx=sinx

$➪1 = \frac{sinx}{cosx}$

1=tanx

$➪tan \theta = 1 \: at \: \theta = \frac{\pi}{4}$

$➪x = \frac{ \pi}{4}$

HOPE IT HELPS YOU..

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Thankyou:)

Answer 2

Step-by-step explanation:

π is just a constant, meaning it doesn't change with respect to a variable . It will graph as a horizontal line, just like 2,8, and 11 will. As we know, slopes of horizontal lines are 0 , so the derivative of a constant, like π , will always be zero.