Let `f(x)=|x^3sinxcosx6-1 0p p^2p^3|,w h e r ep` is a constant. Then `(d^3)/(dx^3)(f(x))` at `x=0` is `p` (b) `p-p^3` `p+p^3` (d) independent of `p`

Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]|,w h e r ep is a constant. Then (d^3)/(dx^3)(f(x)) at x=0 is (a)p (b) p-p^3 (c)p+p^3 (d) independent of p

Let f(x) = |{:(x^(3), sinx,cosx),(6,-1,0),(p,p^(2),p^(3)):}| where p is a constant. Then d^(3)/dx^(3){f(x)} at x=0 is

If f(x)=|{:(x^(3),x^(4),3x^(2)),(1,-6,4),(p,p^(2),p^(3)):}| , where p is a constant, then (d^(3))/(dx^(3))(f(x)) , is

Cosider the function f(x)=|{:(x^(3),sin x,cos x),(6,-1,0),(p,p^(2),p^(3)):}| , where p is a constant. What is the value of f'(0) ?

Consider the function f(x)=|{:(x^(3),sinx,cosx),(6,-1,0),(p,p,p^(3)):}| where p is a constant. What is the value of f'(0) ?

Consider the function f(x) = |(x^3,sinx,cosx),(6,-1,0),(p,p^2,p^3)|, where p is constant. What is the value of f'(0) ? What is the value of p for which f''(0)=0

Cosider the function f(x)=|{:(x^(3),sin x,cos x),(6,-1,0),(p,p^(2),p^(3)):}| , where p is a constant. What is the value of p for which f''(0) = 0 ?