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RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
- If y=x^x , find (dy)/(dx) at x=e .
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- If y=tan^(-1)((1-x)/(1+x)) , find (dy)/(dx) .
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- If y=(log)a x , find (dy)/(dx) .
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- If y=logsqrt(tanx) , write (dy)/(dx) .
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- If y=sin^(-1)((1-x^2)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) , find (dy)/(...
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- If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)),x > 0. Find (dy)/(dx)...
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- If |x|<1 and y=1+x+x^2+....... oo , then find the value of (dy)/(dx)...
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- If u=sin^(-1)((2x)/(1+x^2)) and v=tan^(-1)((2x)/(1-x^2)) , where -1 < ...
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- If f(x)=log{(u(x))/(v(x))},\ u(1)=v(1) and u^(prime)(1)=v^(prime)(1)=2...
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- If y=log(3x),\ \ x!=0 , find (dy)/(dx) .
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- If f(x) is an even function, then write whether f^(prime)(x) is eve...
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- If f(x) is an odd function, then write whether f^(prime)(x) is even...
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- Write the derivative of sinx with respect to cosx .
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- If f(x)=(log)(x^2)(logx) , then f^(prime)(x) at x=e is (a) 0 (b) 1 (c)...
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- The differential coefficient of f(logx) with respect to x , where f(...
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- The derivative of the function cot^(-1){(cos2x)^(1//2)} at x=pi//6 i...
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- Differential coefficient of sec(tan^(-1)x) is (a)x/(1+x^2) (b) xsqrt...
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- If y= tan^(-1)sqrt((1-sinx)/(1+sinx)), then the value of (dy)/(dx) at ...
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- If y=(1+1/x)^x , then (dy)/(dx)= (a)(1+1/x)^x{log(1+1/x)-1/(x+1)} (b)...
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- If x^y=e^(x-y) , then (dy)/(dx) is (a)(1+x)/(1+logx) (b) (1-logx)/(1+l...
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