1. The derivative of cos(2x² – 1) w.r.t cos x is

2. If x = t², y = t³, then \(\frac{d^2y}{dx^2}\)

3. The value of c in Rolle’s theorem for the function f(x) = x³ – 3x in the interval [o, √3] is

4. For the function f(x) = x + \(\frac{1}{x}\), x ∈ [1, 3] the value of c for mean value theorem is

5. Let f be defined on [-5, 5] as

6. Let function f (x) =

7. If f(x) = \(\frac{\sqrt{4+x}-2}{x}\) x ≠ 0 be continuous at x = 0, then f(o) =

8. let f(2) = 4 then f”(2) = 4 then \(_{x→2}^{lim}\) \(\frac{xf(2)-2f(x)}{x-2}\) is given by

9. It is given that f'(a) exists, then \(_{x→2}^{lim}\) [/latex] \(\frac{xf(a)-af(x)}{(x-a)}\) is equal to

10. If f(x) = \(\sqrt{25-x^2}\), then \(_{x→2}^{lim}\)\(\frac{f(x)-f(1)}{x-1}\) is equal to