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SRISIRI PUBLICATION-DIFFERENTIATION-EXERCISE(SAQ)
- Find the derivative of sin2x from the principle.
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- Find the derivative of cosax from the first Principle.
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- Find the derivative of tan2x from the first principle.
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- Find the derivative of sec3x using first principle.
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- Find the derivative of xsinx from the first principle.
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- Find the derivative of cos^(2)x from the first principle.
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- Find the derivative of sqrt(x+1) from the first principle.
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- Using first principle, find the derivative of log(e)x where x in (0,oo...
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- Find the derivative of Tan^(-1)(secx+tanx).
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- Find the derivative of Tan^(-1)((3a^(2)x-x^(3))/(a(a^(2)-3x^(2)))).
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- Find the derivative of Tan^(-1)((sqrt(1+x^(2))-1)/(x)).
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- Differentiate Tan^(-1)(2x)/(1-x^(2)) w.r.t Sin^(-1)""(2x)/(1+x^(2)).
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- If y=ax^(n+1)+bx^(-n) then show that x^(2)y''=n(n+1)y.
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- If y=sin(sinx) then show that y''+(tanx)y'+ycos^(2)x=0.
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- Show that y=x+tanx satisfies the equation cos^(2)x(dy^(2))/(dx^(2))+2x...
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- If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) then prove that dy/dx=(sqrt(1-y^...
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- If y=Tan^""(-1)((sqrt((1+x^(2)))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-...
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- If x^(logy)=logx then find dy/dx.
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- If x^(y)=y^(x) then show that dy/dx=(y(xlogy-y))/(x(ylogx-x)).
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- If y=xsqrt(a^(2)+x^(2))+a^(2)log(x+sqrt(a^(2)+x^(2))), then show that ...
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