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If y=1+x/(1!)+(x^2)/(2!)+(x^3)/(3!)+ , ...

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

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RD SHARMA ENGLISH-DERIVATIVES-All Questions
  1. Differentiate the following functions with respect to x (i)(2x+3)/(...

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

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

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

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

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

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

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

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

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  10. Differentiate logsinx from the first principles.

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

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  12. The differentiation of y=a^x.

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  13. Differentiate e^(sqrt(tanx)) from the first principle.

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  14. If f(x)=x^n w h e r en in R , then differentiation of x^n with resp...

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  15. Find the derivatives of f(x)=tanx at x=0

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  16. If is a real valued function defined by f(x)=x^2+4x+3, then find f^(pr...

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  17. If f(x)a n dg(x) a re differentiate functions, then show that f(x)+-g...

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  18. If f(x)a n dg(f) are two differentiable functions and g(x)!=0 , then s...

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  19. If u, v and w are functions of x, then show that d/(dx)(udotvdotw)=(d ...

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  20. Differentiation of a constant function is zero i.e., d/(dx)(c)=0.

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