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Find the differentiation of y=sin u, u=x...

Find the differentiation of `y=sin u, u=x^2`w.r.t.x.

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`y=sinu u=x^2`
`dy/du=cosu (du/dx)=2x`
`dy/dx=(dy)/(du)=(du)/(dx)=(cosu)(2x)=2xcos(x)^2`
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PATHFINDER-VECTOR-I AND VECTOR-II-QUESTION BANK
  1. Find the differentiation of y=e^x/(e^x+1)

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  2. Find the differentiation of sinu w.r.t.x.

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  3. Find the differentiation of y=sin u, u=x^2w.r.t.x.

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  4. If f(x)=x^5-3x^3+2x^2+1. Find the differentiation of f(x) w.r.t.x.

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  5. If f(x)=e^(ax+b), find the differentiation of f(x) w.r.tx.

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  6. Find the differentiation of f(x)=log(ax+b) w.r.t x.

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  7. Find the differentiation of the following function e^(tanx)

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  8. Find the differentiation of the following function log(sinx)

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  9. Find the differentiation of the following function sin(ax+b)

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  10. Find the differentiation of the following function y="sin"^(-1)(2x)/(...

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  11. Find the differentiation of the following function y=x^3logx

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  12. Find the differentiation of the following function y=log(x+sqrt(x^2+a...

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  13. If y=x^2logx, then find the value of (d^2y)/(dx^2).

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  14. Find the point of maxima and minima for the function 2x^3-9x^2+100

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  15. Find the minimum value of the function x^3-7x^2+8x+5

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  16. Show that the height of the cylinder of maximum volume that can be ...

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  17. Find maximum or minimum values of the functions (a) y =25 x^(2) + 5 ...

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  18. Find maximum or minimum values of the functions (a) y =25 x^(2) + 5 ...

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  19. Integrate the following functions with respect to x (a) int (5x^2 + ...

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  20. Integrate the following functions with respect to x (a) int (5x^2 + ...

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