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If y = cos ( m cos ^(-1) x ) then sho...

If ` y = cos ( m cos ^(-1) x ) ` then show that ` (1-x^(2) ) (d^(2) y)/(dx^(2)) -x (dy)/(dx) + m ^(2) y =0`

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-DIFFERENTIATION
  1. If x = sin theta, y = tan theta then find (dy)/(dx)

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  2. Differentiate sin ^(2) (sin ^(-1) (x^(2)) ) w.r. to x

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  3. If y=logsqrt((1-cos((3x)/(2)))/(1+cos ((3x)/(2)))),"then "dy/dx=

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  4. y = log [4^(2x) ((x^(2)+5)/(sqrt(2x^(3)-4)))^(3//2)], find (dy)/(dx)

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  5. Differentiate cot ^(-1) ((cos x )/(1 +sin x )) w.r. to x

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  6. Differentiate sin ^(-1) ((2 cos x + 3 sin x )/(sqrt(13))) w.r.to x

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  7. Differentiate tan ^(-1) ((8x)/(1-15x^(2))) w.r.to x

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  8. If log5 ((x^(4)+y^(4))/(x^(4)-y^(4))) =2, show that (dy)/(dx) = (12...

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  9. If y= sqrt(cos theta+sqrt(cos theta +sqrt(cos theta+......infty)))...

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  10. Find the derivative of cos ^(-1) x w.r. to sqrt(1-x^(2))

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  11. If x sin(a+y)+sina.cos(a+y)=0, then prove that (dy)/(dx) = (sin^(2)...

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  12. If y = 5^(x) .x^(5).x^(5).5^(5) , find (dy)/(dx)

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  13. If y = e^(m tan ^(-1) x) , show that (1+x^(2)) (d^(2)y)/(dx^(2)) +(2...

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  14. If x^(7) .y^(5)=(x+y)^(12) , show that (dy)/(dx) = (y)/(x)

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  15. Differentiate tan ^(-1) ((8x)/(1-15x^(2))) w.r.to tan ^(-1) ((...

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  16. If y=sin ^(-1) ((asin x +bcos x )/( sqrt(a^(2) +b^(2)))) ,then (dy)/(...

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  17. If y = cos ( m cos ^(-1) x ) then show that (1-x^(2) ) (d^(2) y)/...

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  18. If y = f(u) is a differentiable functions of u and u = g(x) is a dif...

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  19. Suppose y=f (x) is differentiable functions of x on an interval I and ...

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  20. If x = f(t) and y = g(t) are differentiable functions of t so that y...

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