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Find (dy)/(dx) in each of the followi...

Find `(dy)/(dx)` in each of the following: `x y=c^2`

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To find \(\frac{dy}{dx}\) for the equation \(xy = c^2\), follow these steps: ### Step-by-Step Solution: 1. **Given Equation:** \[ xy = c^2 \] ...
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RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. Find (dy)/(dx) in each of the following: 4x+3y="log"(4x-3y)

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  2. Find (dy)/(dx) in each of the following: x^(2/3)+y^(2/3)=a^(2/3)

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  3. Find (dy)/(dx) in each of the following: x y=c^2

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  4. Differentiate the following function with respect to x : cos^(-1){(x+...

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  5. Differentiate the following function with respect to x : sin^(-1){...

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  6. Differentiate the following function with respect to x : t a n^(-1...

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  7. Differentiate the following function with respect to x : sin^(-1...

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  8. Differentiate the following function with respect to x : tan^-1(x/(...

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  9. Differentiate the following functions with respect to 3^{x^2}+2x

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  10. Differentiate the following function from first principles: e^(3x)

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  11. Differentiate the following functions with respect to 3^{e^x}

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  12. Differentiate the following function with respect to x : sin ^{-1}{...

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  13. Differentiate the following functions with respect to sqrt((1-x^2)/...

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  14. Differentiate the following functions with respect to e^(tanx)

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  15. Differentiate the following function sin^(-1)(x/(x^2+a^2))

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  16. If y=sqrt(logx+sqrt(cosx+sqrt(cosx+...tooo))), prove that (dy)/(dx)...

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  17. If y=(sinx)^((sinx)^((sinx)^(...^infty))) , prove that (dy)/(dx)=(y^...

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  18. Differentiate the following function from first principles: logcosx

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  19. If y=e^x^e^x+e^x^x^e , prove that (dy)/(dx)=e^x^e^xdotx^e^x{(e^x)/x+ed...

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  20. Find (dy)/(dx), y=e^(3x)sin4x. 2^x

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