1. If y = (tan x), then \(\frac{dy}{dx}\) is equal to

2. If x= e then \(\frac{dy}{dx}\) is

3. The derivative of y = (1 – x) (2 – x)…. (n – x) at x = 1 is equal to

4. If f(x) = cos x, cos 2 x, cos 4 x, cos 8 x, cos 16 x, then the value of'(\(\frac{π}{4}\)) is

5. x. y= 16, then the value of \(\frac{dy}{dx}\) at (2, 2) is

6. If y = e find \(\frac{dy}{dx}\) =

7. If x = \(\frac{1-t^2}{1+t^2}\) and y = \(\frac{2t}{1+t^2}\) then \(\frac{dy}{dx}\) is equal to dx

8. If x = a cosθ, y = a sinθ. then \(\frac{dy}{dx}\) at θ = \(\frac{3π}{4}\) is

9. If x = sin(3t – 4t³) and y = cos(\(\sqrt{1-t^2}\)) then \(\frac{dy}{dx}\) is equal to

10. If x = e sin t, y = e cos t, t is a parameter, then \(\frac{dy}{dx}\) at (1, 1) is equal to