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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
- Let f(x y)=f(x)f(y)AAx , y in Ra n df is differentiable at x=1 such t...
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- Let f(x) be a polynomial of degree 3 such that f(3)=1,f^(prime)(3)=-1...
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- Find (dy)/(dx) for the functions: y=x^3e^xsinx
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- d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))] is (a) 1/(2(1+x)sqrt(x)) (b)...
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- If y=tan^(-1)(1/(1+x+x^2))+tan^(-1)(1/(x^2+3x+3))+tan^(-1)(1/(x^2+5x+7...
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- Let g(x) be the inverse of an invertible function f(x) which is diff...
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- If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3), then prove that (dy)/(dx)=(x^2...
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- Let f: R->R be such that f(1)=3 and f^(prime)(1)=6. Then lim(x->0)((f...
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- If cosy=xcos(a+y), with cosa!=+-1, prove that (dy)/(dx)=(cos^2(a+y))/(...
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- Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]|, where p is a cons...
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- Find (dy)/(dx) for y=sin^(-1)(cosx), where x in (0,2pi)dot
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- The derivative of an even function is always an odd function.
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- If y=sqrt((a-x)(x-b))- (a-b)tan^(-1)sqrt((a-x)/(x-b)),t h e n d(dy)/...
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- Let F(x)=f(x)g(x)h(x) for all real x ,w h e r ef(x),g(x),a n dh(x) a...
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- Find (dy)/(dx) for y=tan^(-1){(1-cosx)/(sinx)},-piltxltpi.
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- If x=y+sin^2x then at x=0 ,(dy)/dx=
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- Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x.
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- If f(x)=|x-2| a n d g(x)=f[f(x)],t h e n g^(prime)(x)= for x>20
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- Find (dy)/(dx) for y=tan^(-1) sqrt(sec^2x/ cosec^2x)
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- If y=(sinx)^(tanx),t h e n(dy)/(dx)= (a)(sinx)^(tanx)(1+sec^2xlogsi...
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