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If f(x)=xtan^(-1)x , find f^(prime)(sqrt...

If `f(x)=xtan^(-1)x ,` find `f^(prime)(sqrt(3))` .

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
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  2. The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...

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  3. If f(x)=xtan^(-1)x , find f^(prime)(sqrt(3)) .

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  4. Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))), where -pi/4...

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  5. Find the derivative of e^(sqrt(x)) w.r.t. x using the first principle.

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  6. f(x)=tan^(-1){log(e/x^2)/log(ex^2)}+tan^(-1)((3+2logx)/(1-6logx)) then...

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  7. If f((x+2y)/3)=(f(x)+2f(y))/3AAx ,y in Ra n df^(prime)(0)=1,f(0)=2, ...

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  9. If graph of y=f(x) is symmetrical about the point (5,0) and f^(prime)(...

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  12. If f,g,a n d \ h are differentiable functions of x and d(x)=|[f,g,h]...

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  15. Prove that lim(x->0) (f(x+h)+f(x-h)-2f(x))/h^2 = f''(x)

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