Obtain the derivative of//(bx^n//),where//(b//)is a constant and //(n//)is a positive integer

bn[x^(n-1)]

Step-by-step explanation:

d(b×x^n)/dx

= b × n × x^(n - 1)

= bn[x^(n-1)]

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: