MEDIUM
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IMPORTANT
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Let ux and vx be differentiable functions such that uxvx=7. If u'xv'x=p and uxvx'=q, then p+qp-q has a value equal to:

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Important Questions on Differentiation

HARD
JEE Main
IMPORTANT
If fx is given by fx=cosx+isinxcos3x+isin3xcos2n-1x+isin2n-1x, then f''x is equal to::
MEDIUM
JEE Main
IMPORTANT
Let fx=xn, n being a non-negative integer. The value of n for which the equality f'x+y=f'x+f'y is valid for all x,y>0, is:
MEDIUM
JEE Main
IMPORTANT
If fx=sinπ3x-x2 for 2<x<3 (where x denotes the greatest integer less than or equal to x), then f'π3 is equal to:
MEDIUM
JEE Main
IMPORTANT
Let f be a differentiable function, satisfying [f(x)]n=fnx for all xR. Then f'xfnx is: