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if 2f ( sin x) + f( cos x) = x then...

if 2f ( sin x) + f( cos x) = x then `(d)/(dx) f(x) ` Is

A

`(1)/(sqrt((1-x^2))`

B

`sin x + cos x`

C

`2`

D

None

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A
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ML KHANNA-DIFFERENTIATION-PROBLEM SET-(2)
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  3. if 2f ( sin x) + f( cos x) = x then (d)/(dx) f(x) Is

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  4. if f'(x) = sin ( log x) and y = f((2x +3)/(3-2x)) then (dy)/(dx) ...

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  5. If for a continuous function f,f(0) = f(1) =0 , f '(1) = 2 and g...

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  6. Let F(x) =(f(x/2))^(2) +(g(x/2))^(2). F(5)=5 and f''(x) =-f(x), g(x) =...

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  7. f and g are two differentiable functions which satisfy the cond...

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  8. Y1 = (dy)/(dx) and Y2 =(d^2 y)/( dx^2) . If Y= sin ( m sin^(-1)...

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  9. If Y = ( sin^(-1)"" x)^2 + (cos ^(-1) x)^2 , then (1-x^2) (d^2 y)/(d...

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  10. If y= ( sin^(-1)"" x)^2 +(cos^(-1) "" x)^2 then (1-x^2) (d^2y)/(dx...

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  12. If Y= log [Sec (e^(x^2))] then (dy)/(dx) is equal to

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  13. If x= sqrt((1-t^2)/( 1+t^2)) and y= ( sqrt(1+t^2) - sqrt(1-t^2)) th...

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  14. If f(x) = Sigma(r=1)^(n) [cos (2 r-1) x+ I sin ( 2r -1) x] then...

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  15. if x= f (t) cos t- f'(t) sin t and y= f (t) sin t + f'(t ) cos...

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  16. If x = sec theta - cos theta and y= sec^n theta - cos^n ...

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  17. If x = cos^(-1) "" (1)/(sqrt"" (t^2 +1)). Y= sin^(-1)"" (t )/(sqrt""(...

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  18. If x^2 +y^2 =t -(1)/(t) , x^4 +y^4 =t^2 +(1)/(t^2), prove that ...

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  19. If phi (x) = f(x) g(x) , where f'(x) g'(x) =c then (phi ' ' )/(ph...

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  20. If y= log(10) x + logx 10 + logx x- log (10) 10 , then (dy)/(dx) ...

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