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Differentiate the following functions wi...

Differentiate the following functions with respect to `x` from first principles: `sqrt(sinx)`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
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  2. Differentiate the function with respect to x using the first principle...

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  3. Differentiate the following functions with respect to x from first...

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  4. If f(x) is differentiable and strictly increasing function, then the v...

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  5. If f(x)=[2x]sin3pix then prove that f'(k^(+))=6kpi(-1)^(k), (where [.]...

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  6. lim(h->0) (f(2h+2+h^2)-f(2))/(f(h-h^2+1)-f(1)) given that f'(2)=6 and ...

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  7. Evaluate (lim)(hvec0)((a+h)^2sin^(-1)(a+h)-a^2sin^(-1)a)/h

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  8. If x^2+y^2=1,t h e n (a)y y^('')-2(y^(prime))^2+1=0 (b)yy^('')+(...

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  9. Using the first principle, prove that d/(dx)(1/(f(x)))=(-f^(prime)(x))...

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  10. If y is a function of x and log(x+y)-2x y=0, then the value of y^(prim...

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  11. Find the derivative of sqrt(4-x) w.r.t. x using the first principle.

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  12. The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...

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  13. If f(x)=xtan^(-1)x , find f^(prime)(sqrt(3)) using the first principle...

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

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

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

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  17. 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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  18. If f(x)=|x^2-5x+6|, then f'(x) equals

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

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  20. Let f(x^m y^n)=mf(x)+nf(y) for all x , y in R^+ and for all m ,n in ...

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