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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
- Differentiate the following function tan^(-1)(e^x) with respect to...
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- Differentiate tan^(-1)((1+a x)/(1-a x)) with respect to sqrt(1+a...
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- Differentiate tan^(-1)((x-1)/(x+1)) with respect to sin^(-1)(3x-4x...
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- If y={log(cosx)sinx}"{"log(sinx)cosx")"^(-1)+sin^(-1)((2x)/(1+x^2)), ...
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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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- Differentiate tan^(-1)(x/(sqrt(1-x^2))) with respect to sin^(...
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- Differentiate sin^(-1)sqrt(1-x^2) with respect to cot^(-1)(x/sqrt(1...
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- If ysqrt(x^2+1)=log(sqrt(x^2+)1-x),s howt h a t(x^2+1)(dy)/(dx)+x y+1=...
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- If e^x+e^y=e^(x+y) , prove that (dy)/(dx)=-(e^x(e^y-1))/(e^y(e^x-1)) o...
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- If y=xsin(a+y),p rov et h a t(dy)/(dx)=(sin^2(a+y))/(sin(a+y)-ycos(a+y...
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- If x ylog(x+y)=1,p rov e \ t h a t \ (dy)/(dx)=-(y(x^2y+x+y))/(x(x y^2...
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- If y=(sinx-cosx)^(sinx-cosx) ,pi/4 ltxlt (3pi)/ 4 find dy/dx
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- If y=log((x^2+x+1)/(x^2-x+1))+2/(sqrt(3))t a n^(-1)((sqrt(3)x)/(1-x^2)...
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- If (x-y)e^(x/(x-y))=a , prove that (dy)/(dx)+x=2ydot
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- Differentiate the following functions with respect to x : (e^xlogx)/...
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- Differentiate the following functions with respect to x: log(x+sqrt...
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- Differentiate the following functions with respect to x : tan(e^(s...
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- Differentiate sin^(-1){(2^(x+1). 3^x)/(1+(36)^x)}"w i t hr e s p e...
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- Differentiate the following functions with respect to x: log((sinx)...
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- If y=tan^(-1){(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))},"f i n d"(d...
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