Find a formula for the nth derivative of

Question

Find a formula for the nth derivative  of

Quizplus · Accepted Answer

Each derivative will have a coefficient equal to the nth term of the power series expansion of e^x, which is 1/n!. Since the original function is 11e^x, the coefficients will be 11/n!. Therefore, the nth derivative will be 11e^x times the nth derivative of e^x, which is e^x. This gives a final coefficient of 11/(n-1)!, resulting in 11e^(x+n-1). The correct answer choice is D, which correctly adds n-1 to the hexadecimal digit in the original function.

Find a Formula for the Nth Derivative of