Question

Evaluate y'.
y=3^(x)*x^(3)

Answer 1

\[y=3^xx^3\]

Answer 2

use the product rule to get

y=3^(x)*x^(3)

y ' = d/dx[3^(x)*x^(3)]

y ' = d/dx[3^(x)]*x^(3) + 3^(x)*d/dx[x^(3)] .. use product rule

y ' = ln(3)*3^x*x^(3) + 3^(x)*3x^2

y ' = 3^(x)x^2 ( ln(3)*x + 3 ) ... this step is optional

Answer 3

Thank you so much!!

Answer 4

yw