. y = 2^sin-1x × e^cos-1(x-2) , then dy/dx is

(A) ylog2/√(1-x²) (B) ylog(2/e)/√(1-x²)

(C) y-1/√(1-x²) (D) none of these

7. x = a cos³ t, y = a sin³ t , then dy/dx is

(A) – tant (B) – cos t

(C) – cosec t (D) – cot t

8. x = t² + t + 1, y = t² – t + 1; then dy/dx is

(A) (2t+1)/(2t-1) (B) (2t-1)/(2t+1)

(C) (2t+1)/(2t-1)² (D) none of these

9. x = a (1 – sint), y = a(1 – tan t) , then dy/dx is

(A) sec²t (B) sec³t

(C) cos²t (D) cos³t

10. y = log_a(x²) , then dy/dx at x = e, is

(A) 2e (B) 1/e

(C) 2/e (D) none of these

kanika kaul , 15 Years ago

Grade 12