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Find the rate of at which the function f...

Find the rate of at which the function `f(x)=x^4-2x^3+3x^2+x+5` changes with respect to `x`.

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RD SHARMA ENGLISH-DERIVATIVES-All Questions
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  2. Differentiate the following with respect of x :(cos(x-2))/(sin x)

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  3. Find the rate of at which the function f(x)=x^4-2x^3+3x^2+x+5 changes ...

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  4. If y=(2x^9)/3-5/7x^7+6x^3-x, find (dy)/(dx) at \ x=1.

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  5. For the function f(x)=(x^(100))/(100)+(x^(99))/(99)+...+(x^2)/2+x+1 . ...

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  6. Differentiate the following with respect of x : xsinx

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  7. Differentiate the following with respect of x : e^xsinx+x^ncosx

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  8. Differentiate the following with respect of x :(x+secx)(x-tanx)

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  9. Differentiate the following with respect of x :(x^2+1)cos x

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  10. Differentiate the following with respect of x :(x^3sinx)/(cos x)

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  11. Differentiate the following with respect of x : e^x(x+logx)

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  12. Differentiate the following with respect of x :(x+cosx)(x-tanx)

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  13. Differentiate the following with respect of x :(a x^2+sinx)(p+qcosx)

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  14. Using mathematical induction prove that : d/(dx)(x^n)=n x^(n-1) for al...

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  15. Differentiate the following function with respect of x : x^3sinx

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  16. Differentiate the following function with respect of x : x^ntanx

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  17. Differentiate the following function with respect of x: sinxcosx

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  18. Differentiate the following function with respect of x : x^5e^x+x^6log...

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  19. Differentiate the following function with respect of x :(1+x^2)cosx

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  20. Differentiate the following function with respect of x : e^xlogsqrt(x)...

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