x के सापेक्ष `y=sqrt(3x+2)+1/sqrt(2x^(2)+4)+(cos x)^("tan x")` का अवलन कीजिये ।

y=sqrt(x^(2)-3x+2)+(1)/(sqrt(3+2x-x^(2))) find the domain =?

If x= sqrt3/2 , then the value of (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) is equal to: यदि x= sqrt3/2 , (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) का मान ज्ञात करें :

If y=tan^(-1) sqrt((1+cos ((x)/(2)))/(1-cos ((x)/(2))),"then " dy/dx=

If y=tan^(-1)[(x-sqrt(1-x^(2)))/(x+sqrt(1-x^(2)))]," then "(dy)/(dx)=

(1) / (2) cos ^ (- 1) x = sin ^ (- 1) sqrt ((1-x) / (2)) = cos ^ (- 1) sqrt ((1 + x) / (2 )) = (tan ^ (- 1) (sqrt (1-x ^ (2)))) / (1 + x)

If I=int(sin x+sin^(3)x)/(cos2x)dx=P cos x+Q log|f(x)|+R then (a)P=(1)/(2),Q=-(3)/(4sqrt(2))(b)P=(1)/(4),Q=(1)/(sqrt(2)) (c) f(x)=(sqrt(2)cos x+1)/(sqrt(2)cos x-1)(d)f(x)=(sqrt(2)cos x-1)/(sqrt(2)cos x+1)

The slope of the tangent to the curve tan y = ((sqrt(1 + x)) - (sqrt(1 -x)))/(sqrt( 1+ x) + (sqrt (1 -x)) at x = 1/2 is

If the value of (3x sqrt y+2y sqrt x)/(3x sqrt y-2y sqrt x)-(3x sqrt y-2y sqrt x)/(3x sqrt y+2y sqrt x) is same as that of sqrt x sqrt y , then which of the following relations between x and y is correct? यदि (3x sqrt y+2y sqrt x)/(3x sqrt y-2y sqrt x)-(3x sqrt y-2y sqrt x)/(3x sqrt y+2y sqrt x) का मान sqrt x sqrt y के समान है, तो निम्नलिखित में से कौन सा संबंध x और y के बीच सही है?

Prove that sin ^ (- 1) x + cos ^ (- 1) y = (tan ^ (- 1) (xy + sqrt ((1-x ^ (2)) (1-y ^ (2)))) ) / (y sqrt (1-x ^ (2)) - x sqrt (1-y ^ (2)))