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If y=cos^(2) x, then find (dy)/(dx)....

If `y=cos^(2) x`, then find `(dy)/(dx)`.

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To find the derivative of \( y = \cos^2 x \), we can use the chain rule. Here are the steps to solve the problem: ### Step 1: Identify the function We have: \[ y = \cos^2 x \] ...
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GRB PUBLICATION-BASIC MATHEMATICS-Problems For Practice
  1. If y=[(x^(2)+1)/(x+1)], then find (dy)/(dx).

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  2. If y=(sin x)/(x+cos x), then find (dy)/(dx).

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  3. If y=cos^(2) x, then find (dy)/(dx).

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  4. If y=cos x^(2), then find (dy)/(dx) .

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  5. If x=at^(4), y=bt^(3), then find (dy)/(dx).

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  6. The velocity v of a particle is given by the equation v=6t^(2)-6t^(3)...

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  7. Evaluate intsqrt(1+y^(2)).2ydy

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  8. Evaluate : int (2xdx)/((x^(2)+1)^(3//2)

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  9. How rapidly will the fluid level inside a vertical cylindrical tank dr...

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  10. A hot air balloon rising straight up from a level field is tracked by...

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  11. A police cruiser, approaching a right-angled intersection from the nor...

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  12. Water runs into a conical tank at the rate of 9 ft^(3)//"min". The ta...

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  13. Heating a plate. When a circular plate of metal is heated in an oven, ...

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  14. Changing dimensions in a rectangular box. Suppose that the edge lengt...

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  15. A 13 ft leader is leaning against a house when its base starts to sli...

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  16. Flying a kite . A girl flies a kite at a height of 3000 ft, the wind ...

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  17. A growing sand pile . Sand falls from a conveyor belt at the rate of ...

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  18. A growing raindrop. Suppose that a drop of mist is a perfect sphere an...

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  19. A balloon and a bicycle. A balloon is rising vertically above a level...

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  20. If two resistors of R(1) and R(2) ohms are connected in parallel in an...

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