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Find f\ '\ (2) and f\ '\ (5) when f(x)=x...

Find `f\ '\ (2)` and `f\ '\ (5)` when `f(x)=x^2+7x+4` .

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To find \( f'(2) \) and \( f'(5) \) for the function \( f(x) = x^2 + 7x + 4 \), we will follow these steps: ### Step 1: Write down the function We have: \[ f(x) = x^2 + 7x + 4 \] ...
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RD SHARMA-DIFFERENTIABILITY-Solved Examples And Exercises
  1. Find the values of a and b , if the function f(x) defined by f(x)={x^2...

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  2. If f(x)=x^2+2x+7 , find f\ '\ (3) .

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  3. Find f\ '\ (2) and f\ '\ (5) when f(x)=x^2+7x+4 .

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  4. For the function f given by f(x)=x^2-6x+8 , prove that f\ '\ (5)-3\ f\...

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  5. Discuss the continuity and differentiability of f(x)={1-x ,\ \ \ \ ...

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  6. Discuss the differentiability of f(x)=|x-1|+|x-2|

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  7. If f(x)={x^2+3x+a ,\ \ \ for\ xlt=1b x+2,\ \ \ \ \ \ \ \ \ \ \ \ \ for...

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  8. Discuss the differentiability of f(x)=|(log)e x| x > 0.

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  9. If f is defined by f(x)=x^2 , find f\ '\ (2) .

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  10. If f is defined by f(x)=x^2-4x+7 , show that f\ '\ (5)=2f\ '(7/2)

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  11. Show that the derivative of the function f given by f(x)=2x^3-9x^2+...

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  12. If for the function "Phi"(x)=lambdax^2+7x-4,\ \ "Phiprime^"(5)=97 , fi...

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  13. If f(x)=x^3+7x^2+8x-9 , find f\ '\ (4) .

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  14. Find the derivative of the function f defined by f(x)=m x+c at x=0 ...

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  15. Examine the differentiability of the function f defined by f(x)={2x...

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  16. Write an example of a function which is everywhere continuous but f...

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  17. Discuss the continuity and differentiability of f(x)=|log|x|| .

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  18. Discuss the continuity and differentiability of f(x)=e^(|x|) .

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  19. Discuss the continuity and differentiability of f(x)={(x-c)cos(1/(x...

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  20. Is |sinx| differentiable? What about cos|x| ?

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