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Differentiate the following functions wi...

Differentiate the following functions with respect to `x :` `(log)_xx` (ii) `e^(3logx)` (iii) `5e^x` (iv) `9(3^x)`

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RD SHARMA ENGLISH-DERIVATIVES-All Questions
  1. The differentiation of cos e cx with respect to x i s c o s e cxcotxdo...

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  2. The differentiation of e^x with respect to xi se^xdot i.e. d/(dx)(e^x...

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

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

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

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

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

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  8. Differentiate the following functions with respect to x : x^2e^x...

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  9. Differentiate the following functions with respect to x (i)(2x+3)/(...

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

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

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  12. Differentiate the following functions with respect to x : x^4(5sinx-...

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  13. Differentiate the following functions with respect to x : (xsinx+cos...

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

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

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  16. The differentiation of cosx with respect to x' is -sinxdot i.e. d/(dx...

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  17. The differentiation of s inx with respect to xi scosxdot i.e. d/(dx)(...

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  18. Differentiate logsinx from the first principles.

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  19. Find the derivative of sin x3 from first principles.

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  20. The differentiation of y=a^x.

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