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Find the derivative of {(3)/((x)^(1/3)) ...

Find the derivative of `{(3)/((x)^(1/3)) - 5/(cosx) +6/(sinx ) - (2tanx )/(sec x) + 7}`.

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To find the derivative of the function \[ f(x) = \frac{3}{x^{1/3}} - \frac{5}{\cos x} + \frac{6}{\sin x} - \frac{2 \tan x}{\sec x} + 7, \] we will simplify the function first and then differentiate it step by step. ...
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RS AGGARWAL-DIFFERENTIATION-Solved Examples
  1. Differentiate the following functions with respect to x : (x^(2) + 4...

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  2. Find the derivative of {(3)/((x)^(1/3)) - 5/(cosx) +6/(sinx ) - (2tanx...

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  3. Differentiate the following function : (i) (x^(2) - 5x + 6)(x-3) , (...

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  4. If y=sqrt((1-cos2x)/(1+cos2x)), where 0 < x < pi/2, find (dy)/(dx).

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  5. If y=1=x/(1!)+(x^2)/(2!)+(x^3)/(3!)+ , show that (dy)/(dx)=ydot

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  6. If u = 3t^(4) - 5t^(3) + 2t^(2) - 18t+4, find (du)/(dt) at t = 1.

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  7. Differentiate x^(6) from the first principle.

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

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

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  10. Differentiate each of the following (i) (x+5)^(7) , (ii) (x-1/x)

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

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

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

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

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

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

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

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

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

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

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