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Differentiate each of the following from...

Differentiate each of the following from first principle: `2/x`

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To differentiate the function \( f(x) = \frac{2}{x} \) using the first principle, we will follow these steps: ### Step 1: Write down the definition of the derivative using the first principle. The derivative of a function \( f(x) \) using the first principle is given by: \[ f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} \] ...
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RD SHARMA-DERIVATIVES-Solved Examples And Exercises
  1. Differentiate the following function with respect to x from first prin...

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  2. Differentiate the following function with respect to x from first prin...

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  3. Differentiate each of the following from first principle: 2/x

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  4. Differentiate each of the following from first principle: (x^2+1)/x

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  5. Differentiate each of the following from first principle: (x+2)/(3x+5)

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  6. Differentiate each of the following from first principle: x^2+x+3

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  7. Differentiate each of the following from first principle: (x^2+1)(x-5)

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  8. Differentiate each of the following from first principle: e^(-x)

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  9. Differentiate each of the following from first principle: x e^x

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  10. Differentiate each of the following from first principle:sin(x+1)

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  11. Differentiate each of the following from first principle: xcosx

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  12. Differentiate each of the following from first principle: 1/(sqrt(x))

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  13. Differentiate each of the following from first principle: (x^2-1)/x

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  14. Differentiate each of the following from first principle: k x^n

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  15. Differentiate each of the following from first principle: (x+2)^3

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  16. Differentiate each of the following from first principle: sqrt(2x^2+)1

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  17. Differentiate each of the following from first principle: e^(3x)

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  18. Differentiate each of the following from first principle: -x

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  19. Differentiate each of the following from first principle: cos(x-pi/8)

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  20. Differentiate each of the following from first principle:sin(2x-3)

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