find the 'n' th derivative of `a^(mx)`

find the derivative of

Find the derivative of

derivative of e^(mx).cos n x

Find the derivative of (x^n-a^n)/(x-a) for some constant a.

If f(x)=(4+x)^(n),"n" epsilonN and f^(r)(0) represents the r^(th) derivative of f(x) at x=0 , then the value of sum_(r=0)^(oo)((f^(r)(0)))/(r!) is equal to

Find the derivative of (x^(n)-a^(n))/(x-a) at x=a for some constant a.

Let f (x= sin ^(6) ((x )/(4)) + cos ^(6) ((x)/(4)). If f ^(n) (x) denotes n ^(th) derivative of f evaluated at x. Then which of the following hold ?

Find the derivative of following function with respect to x. x^(m)+a^(n)

If x is nearly equal to 1 then find the value of (mx^m - nx^n)/(m- n)

If 3rd, 4th, 5th terms in the expansion of (x+a)^n be 84, 280 and 560, Find x, a and n.