Question

Derivative of y=x^(3x+1)

Answer 1

You need logarithmic differentiation

Answer 2

I will start you off

Answer 3

y = x^(3x+1)

Take the log of both sides, you get
log y = (3x+1) log(x)

Answer 4

Take the derivative of both sides (keep in mind that for the right side, you need the product rule)

Answer 5

So, (1/y)(y') = (3x+1)/x + 3 log(x)

Answer 6

Multiply both sides by y becuase we wany y')