Number of points of inflection for `f(x)=x^2e^(-|x|)` is 1 (b) 2 (c) 3 (d) 4

Find the points of inflection for f(x)=sin xf(x)=3x^(4)-4x^(3)

Concavity and convexity : if f''(x) gt 0 AA x in (a,b) then the curve y=f(x) is concave up ( or convex down) in (a,b) and if f''(x) lt 0 AA x in (a,b) then the curve y=f(x) is concave down (or convex up ) in (a,b) Inflection point : The point where concavity of the curve changes is known as point of inflection (at inflection point f''(x) is equal to 0 or undefined) Number of point of inflection for f(x) =(x-1)^(3) (x-2)^(2) is :

If f(x)=(1)/(x-1) and g(x)=(x-2)/(x+3), then number of points of discontinuity in f(g(x))is(1)1(2)2(3)3(4)4

Let f:(-1,1)rarr R be defined as f(x)=max(-|x|,-sqrt(1-x^(2))), then number of points where it is non-differentiable are equal to (a) 1 (b) 2 (c) 3 (d) 4

Find the coordinates of the point of inflection of the curve f(x) =e^(-x^(2))

[ The number of real solutions of x^(2)-4|x|-2=0 is [ (a) 1, (b) 2 (c) 3, (d) 4]]

Paragraph for Question Nos. 12 to 14 Consider f(x) = x^3 * (x-2)^2 *(x-1), then 12. The number of distinct real roots of equation f(x) = f(3/2) is (A) 2 (B) 3 (C)4 (D) 6 13. The number of distinct real roots of equation f(x) = f(2/3) (D)4 (C)3 (B) 2 (A) 1

Number of points where the function f(x)=(x^(2)-1)|x^(2)-x-2|+sin(|x|) is not differentiable,is: (A) 0 (B) 1 (C) 2 (D) 3

The number of real solutions of the equation e^(x)+(a^(2)+4a+5)x^(2)+6=0 is (A) 1 (B) 2 (C) 3 (D) 0

The number of real solution of 2sin(e^x)=5^x+5^-x in [0,1] is (A) 0 (B) 1 (C) 2 (D) 4