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Find from definition the derivatives of ...

Find from definition the derivatives of
`(1)/(f(x))`

Text Solution

Verified by Experts

The correct Answer is:
i.e., `(d)/(dx){(1)/(f(x))}=-(f'(x))/({f(x)}^(2))`
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CHHAYA PUBLICATION-DIFFERENTIATION-Example
  1. Find from difinition the derivatives of x sin x

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  2. Find from definition the derivatives of x^(2)cosx

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  3. Find from definition the derivatives of (1)/(f(x))

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  4. Find from definition the derivatives of 3sqrt(cos x)

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  5. Find the derivatives of e^sqrt(cot x)

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  6. Given, f (x) =(x-1)/(2x^(2)-7x+5)' when x ne 1 =-(1)/(3) when...

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  7. A function f (x) is defined as follows : f (x) = 3 + 2x , when -(...

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  8. If f(x)=|x-2|+1 , evaluate lim(xto2+)(f(x)-f(2))/(x-2) and lim(xt...

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  9. The function f satisfies the equation f(x+y) = f (x) f (y) for all ...

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  10. Differentiate the following functions with respect to x : 2x^(a)-...

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  11. Differentiate the following functions with respect to x : 2x^(4)-(...

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  12. Differentiate the following functions with respect to x : (x^(3)-4x...

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  13. Differentiate the following functions with respect to x : 2log(3)...

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  14. Differentiate the following functions with respect to x : 3secx-4co...

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  15. Differentiate the following functions with respect to x : sin2(x)/...

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  16. Find (dy)/(dx) , when y=2^(x)x^(5)

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  17. Find (dy)/(dx) , when y = sqrt(x) log x* 10^(x)

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  18. Find (dy)/(dx) y= sqrt(x) sec x tan x

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  19. If f(x+y) = f(x) * f(y) for all real x and y and f(5)=2,f'(0) = 3 ,...

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  20. If f (a) = 2 , f'(a) = 1, g (a) = -1 and g'(a) = 2 , show tha...

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