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Find (dy)/(dx) for the function: y= x^(...

Find `(dy)/(dx)` for the function: `y= x^(1/2) + Sin 2x`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Find (dy)/(dx) for the function: y=logsqrt(sinsqrt(e^x))

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  2. Let g(x) be the inverse of an invertible function f(x), which is dif...

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  3. Find (dy)/(dx) for the function: y= x^(1/2) + Sin 2x

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  4. Find (dy)/(dx) for the function: y= Sin 5x

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  5. Differentiate the function f(x)=x^99 with respect to xdot

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  6. If f(x)=x+tanx and g(x) is the inverse of f(x), then differentiat...

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  7. Find (dy)/(dx) for y=cos 55x

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  8. Find (dy)/(dx) for y=e^(6x)

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  9. Let f: R → R be a one-one onto differentiable function, such that f(2)...

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  10. If f''(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 a...

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  11. Find (dy)/(dx) for the function: y=sin 4x - (1/x^4)

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  12. Find (dy)/(dx) for the function: y=sin 2x - x^4 + e^(-3x)

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  13. If x=acostheta,y=bsintheta, then prove that (d^3y)/(dx^3)=(3b)/(a^3)co...

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  14. If y=xlog(x/(a+b x)),t h e nx^3(d^2y)/(dx^2)= (a)x(dy)/(dx)-y (b) ...

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  15. A function f: R->R satisfies the equation f(x+y)=f(x)f(y) for all...

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  16. If u=x^2 and x=s+3t, y=2s-t, then (d^2u)/(ds^2) is (a) 5/2 t (b) 20t^...

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  17. If f(x)=(1-x)^n, then the value of f(0)+f^(prime)(0)+(f^('')(0))/(2!)+...

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  18. If f(x)=sinx+e^x , then f''(x)

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  19. "If "y^(2)=ax^(2)+bx+c," then "y^(3)(d^(2)y)/(dx^(2)) is

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  20. If f(x)=|x^nn !2cosxcos(npi)/2 4sinxsin(npi)/2 8| then find the val...

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