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SRISIRI PUBLICATION-DIFFERENTIATION-EXERCISE(SPQ)
- If y=x^(2)e^(x)sinx, then find dy/dx.
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- Find the derivative of 20^(log(tanx)).
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- If y=Sin^(-1)sqrtx find dy/dx.
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- If y=Tan^(-1)(cossqrtx) then find dy/dx.
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- Find the derivative of Sin^(-1)((2x)/(1+x^(2))).
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- Find the derivative of cos^(-1)(4x^(3)-3x) w.r.to x.
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- Find the derivative of (logx)^(tanx).
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- Find the derivative of x^(4)+y^(4)-a^(2)xy=0.
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- Find the second order derivative of y=Tan^(-1)((2x)/(1-x^(2))).
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- Find the derivative of cotx from the first principle.
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- Find the derivative of sin^(2)x from the first principle.
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- Find the derivative of x^(3) from the first principle.
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- Find the derivative of ax^(2)+bx+c from the first principle.
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- Find the derivative of Tan^(-1)((sqrt(1+x^(2))-1)/(x)).
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- If y=acos(sinx)+bsin(sinx) then prove that y''+(tanx)y'+ycos^(2)x=0.
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- Find the derivative of (i) (sinx)^(logx)+x^(sinx).
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- Find the derivative of (ii) (sinx)^(x)+x^(sinx) w.r.to x.
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