`1`
`-1`
`0`
`-2x`
` (cos x)/(1 - 2y)`
` (sin x)/(1 - 2y)`
` (- sin x)/(1 - 2y)`
` (- cos x)/(1 - 2y)`
`(1-sqrt 3)/2`
`0`
`1/2 (sqrt 3-1)`
None of these
`1/5`
`1/25`
`5`
`1/16`
`0`
`1`
`-1`
`2`
`1`
`2`
`0`
`3`
`1 + x^n`
`1 + [f (x)]^n`
`1 + [phi (x) ]^n`
None of these
`-1`
`1/3`
`1/2`
`1`
` y/x`
`x/y`
`(-y)/x`
`(-x)/y`
` - 1/(2 sqrt(1 - x^2))`
` 1/(2 sqrt(1 - x^2))`
` 2/ sqrt(1 - x^2)`
`(- 2)/ sqrt(1 - x^2)`
`(3y-4x-1)/(2y-3x+2)`
`(3y-4x+1)/(2y-3x-2)`
`(3y+4x+1)/(2y+3x+2)`
`(3y-4x+1)/(2y+3x+2)`
`0`
`pi/2`
`- pi/2`
`1`
`\tan^2\theta`
`\cot^2\theta`
`\sec^2\theta`
`\text{cosec}^2\theta`
`e^(1//e)`
`e^((1//e) - 2)`
`2^(1//(e-3))`
`-e^((1//e) - 3)`
`(0,e)`
`(0,1)`
`(0,1//e)`
None of these
`y/x`
`(py)/(qx)`
`x/y`
`(qy)/(px)`
` (1 + cos x) /( (x + sin x) ( 1 - sin x) )`
` (1 - cos x) /( (x + sin x) ( 1 + sin x) )`
` (1 - cos x) /( (x - sin x) ( 1 + cos x) )`
` (1 + cos x) /( (x - sin x) ( 1 - cos x) )`
`f(x)cos[g(x)]`
`f(x)sin[g(x)]`
`g(x) cos [f(x)]`
`g(x) sin [f(x)]`
`- (log_5 x)^(-2)`
`(log_5 x)^(-2)`
`- (log_x 5)^(2)`
`(log_x 5)^(-2)`
`e^(-2x)`
`-2e^(-2x)`
`2e^(-2x)`
`1`
`P ''' (x) + P ' (x)`
`P' (x) P ''' (x)`
`P (x) p ''' (x)`
a constant
`2`
`1`
`0`
`-1`
`e^(1//e)`
`e^((1//e) - 2)`
`2^(1//(e-3))`
`-e^((1//e) - 3)`