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Let f(x y)=f(x)f(y)AAx , y in Ra n df i...

Let `f(x y)=f(x)f(y)AAx , y in Ra n df` is differentiable at `x=1` such that `f^(prime)(1)=1.` Also, `f(1)!=0,f(2)=3.` Then find `f^(prime)(2)dot`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
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  3. 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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  4. Let f(x) be a polynomial of degree 3 such that f(3)=1,f^(prime)(3)=-1...

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

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

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  10. Let f: R->R be such that f(1)=3 and f^(prime)(1)=6. Then lim(x->0)((f...

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  11. If cosy=xcos(a+y), with cosa!=+-1, prove that (dy)/(dx)=(cos^2(a+y))/(...

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  14. The derivative of an even function is always an odd function.

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  18. If x=y+sin^2x then at x=0 ,(dy)/dx=

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  19. Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x.

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