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If x=costheta,y=sin50," then "(1-x^(2))(...

If `x=costheta,y=sin50," then "(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=`

A

`-5y`

B

5y

C

25y

D

`-25y`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-DIFFERENTIATION-Chapter Test
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  2. If f(x)=cos^(-1){(1-(log(e)x)^(2))/(1+(log(e)x)^(2))}, then f'( e )

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  3. y=sin^(-1)[sqrt(x-a x)-sqrt(a-a x)]

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  4. Let f(x)=(x^3+2)^(30) If f^n (x) is a polynomial of degree 20 where f^...

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  5. If f(x)=cos^(2)x+cos^(2)(x+(pi)/(3))+sinxsin(x+(pi)/(3)) and g((5)/(4)...

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  6. If f(x)=10cosx+(13+2x)sinx then f'(x)+f(x)=

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  7. If a real valued function f(x) satisfies the equation f(x +y)=f(x)+f (...

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  8. If f(x)=log{(u(x))/(v(x))},\ u(1)=v(1) and u^(prime)(1)=v^(prime)(1)=2...

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  9. If f'(x)=arc tan((x^(x)-x^(-x))/(2)), then f'(1) is equal to

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  10. Let f(x)=2^(2x-1)" and "g(x)=-2^(x)+2xlog2. Then the set of points sat...

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  11. If y=logu|cos4x|+|sinx|,where u=sec2x find (dy)/(dx) at x=-pi/6

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  12. If f(4)=4,f'(4)=1, then lim(x in4) (2-sqrt(f(x)))/(2-sqrt(x)) is equal...

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  13. if 2x^2-3xy+y^2+x+2y-8=0 then (dy)/(dx)

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  14. If y=log{((1+x)/(1-x))^(1//4)}-(1)/(2)tan^(-1)x," then "(dy)/(dx)=

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  15. If x=costheta,y=sin50," then "(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=

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  16. If f : R - R is an even function which is twice differentiable on R an...

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  17. Observe the following statements: "I. If "f(x)=ax^(41)+bx^(-40)," ...

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  18. If x=e^tsint,y=e^tcost then (d^2y)/(dx^2) at x=pi is

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  19. The value of (dy)/(dx) at x=(pi)/(2), where y is given by y=x^(sinx)...

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

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