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(d^(2))/(dx^(2)(2 cos x cos 3x) is equal...

`(d^(2))/(dx^(2)(2 cos x cos 3x)` is equal to

A

`2^(2)(cos 2x +2^(2) cos 4x)`

B

`2^(2) (cos 2x -2^(2) cos 4x)`

C

`2^(2)(- cos 2x + 2^(2) cos 4x)`

D

`-2^(2)(cos 2x +2^(2) cos 4x)`

Text Solution

Verified by Experts

The correct Answer is:
D
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TARGET PUBLICATION-DIFFERENTIATION -HIGHER ORDER DERIVATIVES
  1. let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is

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  2. If x=log t, t gt 0 and y=1/t, then (d^(2)y)/(dx^(2)), is

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  3. If y = 1 - x +(x^(2))/(2!) - (x^(3))/(3!) + (x^(4))/(4!) - ..., " the...

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  4. Let f be a function defined for every x, such that f''=-f, f(0)=0,f'(0...

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  5. If e^y\ (x+1)=1 , then (d^(2)y)/(dx^(2))= .

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  6. If y=ax^(5)+(b)/(x^(4))," then "(d^(2)y)/(dx^(2))=

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  7. If y=a x^(n+1)+b x^(-n),t h e n x^2(d^2y)/(dx^2) is equal to

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  8. If y=a cos ( log x )+ bsin (log x) where a ,b are parameters ,then ...

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  9. If y=a^(x) b^(2x-1) ,then (d^(2)y)/(dx^(2))=

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  10. If y=log(x+sqrt(x^(2) +a^(2))), then (d^(2)y)/(dx^(2)), is equal to

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  11. If y=x^(2)+2x+3," then "(d^(2)x)/(dy^(2))

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  12. If y=x+e^x , then (d^2x)/(dy^2) is equal to

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  13. "If "y= sin x +e^(x)," then "(d^(2)x)/(dy^(2))=

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  14. If y=e^(2x), then (d^(2)y)/(dx^(2)).(d^(2)x)/(dy^(2)) is equal to

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  15. (d^(2))/(dx^(2)(2 cos x cos 3x) is equal to

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  16. (d^(2)x)/(dy^(2))=

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  17. If x^(2)/a^(2) + y^(2)/b^(2)=1, then (d^(2)y)/(dx^(2)) is

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  18. If x=f(t) and y=g(t), then (d^2y)/(dx^2) is equal to

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  19. If y=(cos x - sin x)/(cos x + sinx), then ((d^(2)y)/(dx^(2)))/((dy)/(d...

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  20. If y=cos(log x), then x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y is equal to

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