Find a, b, c, and d, where `f(x)=(ax+b)cosx+(cx+d)sinxandf'(x)=xcosx ` is identity in x.

f(x)=secx, g(x)=1/cosx Identical or not?

If a lt b lt c lt d then f(x) = (x -a) (x-c)+ lambda(x-b) (x-d) has real roots

The number of points where f(x) = [sin x + cosx] (where [.] denotes the greatest integer function) x in (0,2pi) is not continuous is a. 3 b. 4 c. 5 d. 6

If f(X) = (ax-b)/(bx-a) , show that f(f(x)) = x

"Let "f(x)=phi(x)+Psi(x) where, phi'(x) and Psi'(x) are finite and definite. Then, a. f(x) is continuous at x = a b. f(x) is differentiable at x = a c. f'(x) is continuous at x = a d. f'(x) is differentiable at x = a

Find the second order derivative of the function x.cosx

If A={a, b,c}, B= {c, d} and C= {d, e, f}, find : (A nn B)xxC .

Find the derivative of (ax + b)^m (cx + d)^n , where a,b,c and d are constants and m,n are integers .

If f(x)=ax^3+bx^2+cx+d, where a, b, c, d are real numbers and 3b^2 < c^2, is an increasing cubic function and g(x)=af prime(x)+bf prime prime(x)+c^2, then

Differentiate the w.r.t x sin(ax+b)/cos(cx+d) .