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The differentiation of cos e cx with res...

The differentiation of `cos e cx` with respect to `x`is `-c o s e cxcotxdot` i.e. `d/(dx)(cos e c)=-cos e cxcotx`

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To differentiate the function \( \csc x \) with respect to \( x \), we will use the first principle of derivatives. Let's go through the steps systematically. ### Step-by-Step Solution: 1. **Define the function**: Let \( f(x) = \csc x \). 2. **Apply the first principle of derivatives**: ...
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RD SHARMA-DERIVATIVES-Solved Examples And Exercises
  1. The differentiation of cotx with respect to x is-cos e c^2xdot i.e. ...

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  2. (x) The differentiation of secx with respect to x is secxtanx

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  3. The differentiation of cos e cx with respect to xis -c o s e cxcotxdot...

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  4. The differentiation of e^-x with respect to x is -e^-xdot i.e. d/(dx)...

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  5. Differentiate the following functions with respect to x : e^(3logx...

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  6. Let f(x) be a differentiable and let c a be a constant. Then cf(x) is ...

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  7. Differentiate the following functions with respect to x : (sqrt(x...

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  8. Differentiate the following functions with respect to x : (3^x)/(x+t...

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  9. Differentiate the following functions with respect to x : (10^x)/(s...

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  10. f(x)=x^2e^xlogx differentiate f(x) with respect to x at x = 1

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  11. Differentiate the following functions with respect to x (secx+tanx...

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

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  13. If y=1+x/(1!)+(x^2)/(2!)+(x^3)/(3!)+ , show that (dy)/(dx)=y-x^n/(n!)

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  14. Differentiate the following functions with respect to x x^4(5sinx...

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  15. Differentiate the following functions with respect to x (xsinx+co...

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  16. Differentiate the following functions with respect to x : (e^x+sinx...

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  17. Differentiate the following functions with respect to x : (e^x-tanx)...

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  18. The differentiation of cosx with respect to x is -sinx i.e. d/(dx)(co...

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  19. The differentiation of sinx with respect to x is cosxdot i.e. d/(dx...

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  20. Differentiate logsinx from the first principles.

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