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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
- Differentiate cos^(-1)(sinx) with respect to x :
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- Differentiate cot^(-1)((1-x)/(1+x)) with respect to x .
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- If y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))]...
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- If y=tan^(-1)((2x)/(1-x^2))+sec^(-1)((1+x^2)/(1-x^2)) , x >0 , prove t...
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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 y=sin[2tan^(-1){sqrt((1-x)/(1+x))}],find(dy)/(dx)
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- If y=cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2),\ \ \ x \ \ is \ [0,1/2] , fi...
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- If the derivative of tan^(-1)(a+b x) takes the value 1 at x=0 , prove ...
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- If y=cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2) ,x is [-1/2,0] , find (dy)/(dx...
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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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- If y=cos^(-1){(2x-3sqrt(1-x^2))/(sqrt(13))},"f i n d"(dy)/(dx)
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- Differentiate the following with respect to x : sin^(-1)((2^(x+1). 3^x...
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- If a x^2+2\ h x y+b y^2+2\ gx+2\ fy+c=0 , find (dy)/(dx) .
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- If x^2+2x y+y^3=42 , find (dy)/(dx)
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- If x^3+y^3=3a x y , find (dy)/(dx)
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- If log (x^2+y^2)=2t a n^(-1)\ (y/x), then show that (dy)/(dx)=(x+y)/(x...
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- Find dy/dx if x=sqrt(1+y)
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- If cos^(-1)((x^2-y^2)/(x^2+y^2))=tan^(-1)a , prove that (dy)/(dx)=y/xd...
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- If siny=xsin(a+y), prove that (dy)/(dx)= (sin^2(a+y))/(sina) .
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- If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),prove that (dy)/(dx)=(x^2)/(y^2...
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