If `f(x)=sqrt(x^2-10 x+25)` , then the derivative of `f(x)` in the interval [0, 7] is (a) 1 (b) -1 (c) 0 (d) none of these

If f(x)=sqrt(x^(2)-10x+25), then the derivative of f(x) in the interval [0,7] is (a) 1 (b) -1( c) 0 (d) none of these

The function x^x decreases in the interval (a) (0,e) (b) (0,1) (c) (0,1/e) (d) none of these

The function x^x decreases in the interval (a) (0,e) (b) (0,1) (c) (0,1/e) (d) none of these

The function x^(x) decreases in the interval a)(0, e) b)(0, 1) c) (0, (1)/(e)) d)None of these

If f(x)={(1-cos10 x)/(x^2) , x 0 , then the value of a so that f(x) may be continuous at x=0 , is (a) 25 (b) 50 (c) -25 (d) none of these

If f(x)={(1-cos10 x)/(x^2)\ \ \ ,\ \ \ x 0 , then the value of a so that f(x) may be continuous at x=0 , is (a) 25 (b) 50 (c) -25 (d) none of these

If f(x) = x+ 1/x , x>0 then the greatest value of f(x) is (a) -2 (b)0 (c) 3 (d) none of these

If f(x)=|sinx-|cosx||, then the value of f^'(x) at x=(7pi)/6 is (a) positive (b) (1-sqrt(3))/2 (c) 0 (d) none of these

If f(x)=|sinx-|cosx||, then the value of f^'(x) at x=(7pi)/6 is (a) positive (b) (1-sqrt(3))/2 (c) 0 (d) none of these

If f(x)=|x-3| and g(x)= fof (x), then for x>10,g'(x) is equal to (a)1(b)-1(c)0 (d) none of these