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Define the derivative of a function f(x)...

Define the derivative of a function f(x) at an arbitrary point x in its domain of definition.

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CHHAYA PUBLICATION-DIFFERENTIATION-Very short Answer Type Questions
  1. Define the derivative of a function f(x) at an arbitrary point x in it...

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  2. Examine whether f (x) = |x| has a derivative at x = 0 .

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  3. If y = (1)/(x) find (dy)/(dx), also find the value of x for whic...

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  4. If u and v are two differentiable functions of x and y = uv , prove th...

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  5. Given, f'(c) =lim(xtoc) (f(x)-f(c))/(x-c) , when the limit exists,. U...

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  6. Differentiate the following functions w.r.t. x : x^(16)

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  7. Differentiate the following functions w.r.t. x : 3x^(7)

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  8. Differentiate the following functions w.r.t.x : x^(-3)+20sqrt(x)

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  9. Differentiate the following functions w.r.t.x : (2x^(2)+3)/(sqrt(x)...

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  10. Differentiate the followingg functions w.r.t.x : 2x^(4)-(6)/(x^(2)...

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  11. Differentiate the following functions w.r.t.x : (1)/(sqrt(5x))+sqrt...

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  12. Differentiate the following functions w.r.t.x : (x^(2)-2)^(2)

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  13. Differentiate the following functions w.r.t.x : (2x^(2)+3x-4)/(sqrt...

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  14. Differentiate the following functions w.r.t.x : (x^(2)-2x)(x-1)

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  15. Differentiate the following functions w.r.t.x : (x^(4)-3x^(2)-4)/(...

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  16. Differentiate the following functions w.r.t.x : 2+(3)/(x)+(4)/(...

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  17. Differentiate the following functions w.r.t.x : xsqrt(x)-6(x^(2))/...

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  18. Find (dy)/(dx) : y=3log x - 4sqrt(x)+2e^(x)

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  19. Find (dy)/(dx) : y = log (2)x

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  20. Find (dy)/(dx) : y = 2x^(m)-3m^(x)+4e^(x)

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