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

If f(x)=xcosx , find f'(x) .

The function f(x)=(asinx+b cosx)/(c sinx+d cos x) is decreasing, if

If f(x)=xcosx , find f''(x) .

int(ax+b)sqrt (cx+d)dx

y = f(x) = (ax-b)/(cx-a) then f(y) = ?

For all real numbers x, let the mapping f (x) = 1/(x-i) . where i =sqrt -1 . If there exist real number a, b, c and d for which f(a), f(b), f(c) and f(d) form a square on the complex plane. Find the area of the square.

"If " int x e^(x) cosx dx=ae^(x)(b(1-x)sinx+cx cosx)+d, then

If f(x) = y = (ax - b)/(cx - a) , then prove that f(y) = x.

Let f(x) = ax^(3) + bx^(2) + cx + d, a != 0 , where a, b, c, d in R . If f(x) is one-one and onto, then which of the following is correct ?

Let f(x)=a+b|x|+c|x|^4 , where a ,\ b , and c are real constants. Then, f(x) is differentiable at x=0 , if a=0 (b) b=0 (c) c=0 (d) none of these