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Differentiate (sinx)/(x) from the first ...

Differentiate `(sinx)/(x)` from the first principle .

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To differentiate \( \frac{\sin x}{x} \) from the first principle, we will follow these steps: ### Step 1: Define the function Let \( y = \frac{\sin x}{x} \). ### Step 2: Increment in \( y \) Let \( \Delta x \) be a small increment in \( x \). Then the increment in \( y \), denoted as \( \Delta y \), can be expressed as: \[ ...
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RS AGGARWAL-DIFFERENTIATION-Solved Examples
  1. Find the derivative of each of the following from the first principle....

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  2. Differentiate each of the following from first principle: xsinx

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  3. Differentiate (sinx)/(x) from the first principle .

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  4. Differentiate cot (2x+1) from the first principle.

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  5. Find the derivative of each of the following from the first principle ...

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  6. Find the derivative of x^(-3//2) from the first principle .

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  7. Find the derivative of (1)/(x^(2)) from the first principle .

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  8. Differentiate sqrt(sin3x) from the first principle.

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  9. Find the derivative of e^(sqrt(x)) from the first principle.

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  10. Find the derivative of e^(x^(2)) from the first principle.

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  11. Find the derivative of e^(sinx ) from the first principle.

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  12. Differentiate each of the following from the first principle. (i) sq...

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  13. Differentiate each of the following from the first principle . (i) s...

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  14. Find the derivative of the following from the first principle . (i) ...

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  15. Find the derivative of the following from the first principle. (i) s...

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  16. Differentiate x e^x from first principles.

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  17. Differentiate the following functions w.r.t.x from the first principle...

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  18. Differentiate :(i) xe^(x) , (ii) x^(2)e^(x) sin x

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  19. Differentiate :(i) xe^(x) , (ii) x^(2)e^(x) sin x

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  20. Differentiate : x^(2) tan x

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