1. The function f(x) = (x² – 1) |x² – 3x + 2| + cos (|x|) is not differentiable at :

(A) x = –1 (B) x = 0

(C) x = 1 (D) x = 2

2. y = 2^-logz(x3-5) , then dy/dx is

(A) -3x²/(x³-5)² (B) x²/(x³-5)²

(C) 3x²/(x³-5)² (D) none of these

3. y = e^{sin 2x}, then dy/dx is

(A) x cos 2x (B) 2y cos 2x

(C) xy cos 2x (D) none of these

4. y = (sinx + cosx)^x , then dy/dx is

(A) y(sinx + cosx) (B) y{log y/x + x(cosx - sinx)/(sin x+cos x)}

(C) y(log y/x + y² ) (D) none of these

5. y = e^log_e^{(sin-1x + cos-1x)}, then dy/dx is

(A) 5 (B) 2

(C) 0 (D) none of these

kanika kaul , 15 Years ago

Grade 12