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Differentiate each of the following from...

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

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`f'(x)=lim_(h->0) frac{f(x+h)-f(x)}{h}`
`=lim_(h->0) frac{(x+h+2)^3-(x+2)^3}{h}`
`=lim_(h->0) frac{(x+h+2-x-2)((x+h+2)^2+(x+2)^2+(x+h+2)(x+2)))}{h}`
`=3(x+2)^2`
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RD SHARMA-DERIVATIVES-Solved Examples And Exercises
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  2. Differentiate each of the following from first principle: k x^n

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

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

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

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

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

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

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  9. Differentiate each of the following from first principle: 1/(x^3)

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

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  11. Differentiate each of the following from first principle: 1/(sqrt(3-x)...

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  12. Differentiate each of the following from first principle: x^3+4x^2+3x+...

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

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  14. Differentiate each of the following from first principle: e^(a x+b)

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

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

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  17. Differentiate each of the following from first principle: sqrt(sin2x)

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  18. Differentiate each of the following from first principle: x^2sinx

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  19. Differentiate each of the following from first principle: x^2e^x

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  20. Differentiate each of the following from first principle: e^(sqrt(a x+...

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