ThePrismSolutions

ThePrismSolutions

DAILY PRACTICE PAPER(10Th July 2018)


(Q.1) If y = sin(cotx), then find dy/dx= ?

(Q.2) If y = (x2 11x + 30)3/2 then dy/dx= ?

(Q.3) If y = sin√cosx , then dy/dx =?

(Q.4) If y = sin√(x2 + ax + 1) , then dy/dx =?

(Q.5) If y = √sin√x , then dy/dx =?

(Q.6) If y = √cos(1 + x2) , then dy/dx =?

(Q.7) If y = x2cos(logx) , then dy/dx = ?

(Q.8) If y = cos(sun-1x) , then dy/dx =?

(Q.9) If y = sin-1√(1 - x2) , then dy/dx= ?

(Q.10) If Y = tan-1(logX) , find dy/dx= ?




ANSWER


(Ans.1) -cosec2cos(cotx)

(Ans.2) 3/2(14x + 11)√(x2 11x + 30)

(Ans.3) - (sinx . cos√cosx)/2√cosx

(Ans.4) (2x + a)cos√(x2 + ax + 1) / 2√(x2 + ax + 1)

(Ans.5) cos√x / 4√xsin√x

(Ans.6) -xsin(1 + x2) / √cos(1 + x2)

(Ans.7) -xsin(logx) + 2xCos(logX)

(Ans.9) (1 - x2)-0.5

(Ans.10) 1/x[1 + (logX)2]




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