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Let f(x) be a polynomial of degree 3 suc...

Let `f(x)` be a polynomial of degree 3 such that `f(3)=1,f^(prime)(3)=-1,f^('')(3)=0,a n df^(''')(3)=12.` Then the value of `f^(prime)(1)` is
(a)`12 ` (b)` 23 ` (c) `-13 ` (d) none of these

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
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  2. Let f(x y)=f(x)f(y)AAx , y in R and f is differentiable at x=1 such...

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  3. Let f(x) be a polynomial of degree 3 such that f(3)=1,f^(prime)(3)=-1,...

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  4. Find (dy)/(dx) for the functions: y=x^3e^xsinx

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  5. d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))] is (a) 1/(2(1+x)sqrt(x)) (b...

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  6. 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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  7. Let g(x) be the inverse of an invertible function f(x) which is diff...

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  12. Find (dy)/(dx) for y=sin^(-1)(cosx)

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  13. True or False -The derivative of an even function is always an odd fun...

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  14. If y=sqrt((a-x)(x-b))- (a-b)tan^(-1)sqrt((a-x)/(x-b)) then (dy)/(dx)...

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  18. f(x)=sin^(-1)(2xsqrt(1-x^2)) then f'(x)=

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  19. 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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