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SRISIRI PUBLICATION-DIFFERENTIATION-EXERCISE(VSAQ,SAQ & LAQ)
- Find the derivative of x^(n)n^(x)log(nx),(x gt0, n in N).
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- If f(x)=1+x+x^(2)+…………+x^(100), then find f'(1).
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- Find the derivative of x=sinh^(2)y with respect to x.
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- Find the derivative of x=e^(sinhy) with respect to x.
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- Find the derivative of x=tan(e^(-y)) with respect to x.
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- Find the derivative of x=log(1+sqrty) w.r. to x.
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- Differentiate f(x)=log(a)x with respect to g(x)=a^(x).
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- Prove that (d)/(dx)uv=u(dv)/(dx)+v(du)/(dx).
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- If y^(x)=x^(siny) then find dy/dx.
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- Find the derivative of x^(2)+(x)^(x) w.r. to x.
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- If x^(y) + y^(x) = a^(b) then prove that (dy)/(dx)=-[(yx^(y-1)+y^(x)L...
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- Find the derivative of Sin^(-1)((b+asinx)/(a+bsinx)) w.r. to x.
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- If f(x)=(a^(2)-b^(2))^(-1//2).cos^(-1)((acosx+b)/(a+bcosx)) a gt b gt ...
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- Find the derivative dy/dx of the function y=((1-2x)^(2//3)(1+3x)^(-3//...
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- If ay^(4)=(x+b)^(5) then show that 5yy''=(y')^(2).
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