If f(x)=|{:(x^(n),sinx,cosx),(n!,"sin"(n...

If `f(x)=|{:(x^(n),sinx,cosx),(n!,"sin"(npi)/(2),"cos"(npi)/(2)),(a,a^(2),a^(3)):}|`, then the value of `(d^(n))/(dx^(n))(f(x))" at "x=0" for "n=2m+1` is

Similar Questions

Explore conceptually related problems

If A(x)=det[[x^(n),sin x,cos xn!sin((n pi)/(2)),cos((n pi)/(2))a,a^(2),a^(3)]], then the value of (d^(n))/(dx^(n))[Delta(x)] at x=0 is

If f(x)=|(x^n, sinx, cosx),(n!, sin((npi)/2), cos((npi)/2)),(a, a^2,a^3)| , then show that d^n/dx^n [f(x)] at x=0 is 0

Let "f(x)"|{:(pi^n,sinpix,cospix),((-1)^(n)!,-sin((npi)/2),-cos((npi)/2)),(-1,1/sqrt2,sqrt3/2):}| Then value or d^n/(dx^n)["f(x)"]"at "x=1" is "

if =|{:(x^(n),,n!,,2),(cos x,,"cos"(npi)/(2),,4),(sin x,,"sin" (npi)/(2),,8):}|, then find the value of (d^(n))/(dx^(n)) [f(x)]_(x=0) (n in z)

If f(x)=det[[x^(n),n!,2cos x,cos((n pi)/(2)),4sin x,sin((n pi)/(2)),8]], then find the value of (d^(n))/(dx^(n))[f(x)]_(x=0)]|

For every integer n, int_(n)^(n+1)f(x)dx=n^(2) , then the value of int_(0)^(5)f(x)dx=

If f(x)=(1-x)^(n) , then the value of f(0)+f'(0)+(f''(0))/(2!)+...+(f^(n)(0))/(n!) , is