please solve 35. #step by step
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its not easy to ecplain each step in one page....and also its a problem related to calculus...though i put a solution to another problem related to one you asked....hope it help you....
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A function is increasing at a point if the slope of tangent at that point is positive and decreasing if it is negative.
But slope is the tan of angle of inclination which is also equal to derivative of the function at that point.
Thus if the value of derivative is positive at a point then the function is increasing and if its negative then the function is decreasing at that point.
So we just need to find the points for which derivatives are positive or negative . Thus we find the interval of all such points by plotting the derivative function.
This way we we will get the intervals in which the derivative is positive and also the intervals for which they are negative.
And this is how you arrive at the result .
:)
But slope is the tan of angle of inclination which is also equal to derivative of the function at that point.
Thus if the value of derivative is positive at a point then the function is increasing and if its negative then the function is decreasing at that point.
So we just need to find the points for which derivatives are positive or negative . Thus we find the interval of all such points by plotting the derivative function.
This way we we will get the intervals in which the derivative is positive and also the intervals for which they are negative.
And this is how you arrive at the result .
:)
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ani99ket:
see its difficult to plot cos + sin thus i tried to make it of the form of single function
oh I see
and we already know that cos(a+b) or sin(a+b) has a form of sum of cos and sines
so lets do it deserve what should you multiply and divide so that cos +sin becomes cos cos +- sin sin or cos sin +- sin cos
understood! took some time but i understood :)
its clearly 1/√2 because sin and cos gives 1/√2 at same angle 45°
nice :)
yes true
thanks for marking it the brainliest
well you deserve it since I understood it well hehe
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