5. Find the derivative of Fa) 6. Find the second derivative of f(z-e (a) e +2 (b

Question

5. Find the derivative of Fa) 6. Find the second derivative of f(z-e (a) e +2 (b)e(e) 0 (d) 1 (a) (b) (a) y = In + 1 (b) y=x-1 (c) y=2x + 1 7. Find the derivative of f(x) = nz? 2r (c) 2x1nz? (d) ln(zl In z 8. Find an equation of the tangent line to the graph of y = lnx at the point (1,0). (d) y=1 9. Determine the intervals where the function f(x)Inr2 is increasing 10. Find the derivative of y 2 23+2 (a))2 (+ (b) 2+ In2 11. Find the inflection point of the function f(xe (d) In2 (a) x =-2 (b)-=-1 (c) x = 0 (d) 1 12. Find the derivative of y (r+1) ( b) z(x +1 )2+1 (c) +1n(x + 1) (d) (z + 1)"-1 +1 +1

Explanation / Answer

5). Option a i.e. 2x.ex^2

6). 2nd derivative is ex

7). Answer is 2/x

8). Y = x-1 is the tangent

10). 2x+1ln(2) is the derivative

11). X= -2 is a inflexion point

12). (X/(x+1)) + ln(x+1) is the derivative

9). function is increasing in all real no. Domain except 0 so answer is a

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