`(x^(7/2)-5x^3+3x^2-sqrtxlogx)/sqrtx`

If y=((sqrtx+1)(x^2-sqrtx))/(xsqrtx+x+sqrtx)+1/15(3cos^5x=5cos^3x) then 96y' (pi/6) equals to

lim_(x rarr 2) (x^(5) sqrtx - 32 sqrt2)/(x^(3) sqrtx - 8 sqrt2) =

Which of the following are quadratic equations? (i) x^(2)8x+12=0 (ii) x+(1)/(x)=5 (iii) x+(5)/(x)=x^(2) (iv) x^(2)-5sqrtx+7=0 (v) x^(2)-5x-sqrtx+4=0 (vi) x^(2)-(1)/(x^(2))=4 (vii) 5x^(2)-7x=3x^(2)-7x+3 (viii) (1)/(4)x^(2)+(7)/(6)x-2=0

Which of the following are quadratic equations? (i) x^(2)8x+12=0 (ii) x+(1)/(x)=5 (iii) x+(5)/(x)=x^(2) (iv) x^(2)-5sqrtx+7=0 (v) x^(2)-5x-sqrtx+4=0 (vi) x^(2)-(1)/(x^(2))=4 (vii) 5x^(2)-7x=3x^(2)-7x+3 (viii) (1)/(4)x^(2)+(7)/(6)x-2=0

(i) 4x^(3) + 3.2^(x) + 6.root8(x^(-4)) + 5 cot x (ii) x/3 -3/x +sqrtx - 1/sqrtx + x^(2) -2^(x) +6x^(-2//3) -2/3 x^(6)

Differentiate the following w.r.t.x (1) (3x +5) (ii) x^(-2) (iii) x^(3//2) (iv) sqrtx - (1)/(sqrtx) (v) (1)/((x +2))

Differentiate (i) 6ax^(5)+ 4x^(3) -3x^(2) +2x -7 (ii) 5x^(-3//2) + 4/sqrtx + sqrtx -7/x (iii) ax^(3) + bx^(2) + cx+ d, where a,b,c,d are constants

lim_(x->0)(sin^3(sqrtx)log(1+3x))/((tan^-1 sqrtx)^2(e^(5sqrtx)-1)x)=

underset(x to oo)"Lt " (3sqrtx+log x-sin^(2)x)/(5sqrtx+6cos^(2)x-100log x)=