Question

what is the deravitive of 4^x?

Answer 1

4

Answer 2

wait

Answer 3

4^x ln(4)

Answer 4

i didnt see the raise to a power. you need to implicitly differentiate

Answer 5

4^x=y, ln(y)/ln(4)=x, (d/dx)ln(y)=(d/dx)ln(4)x, (1/y)(dy/dx)=ln(4), dy/dx=yln4, dy/dx=(4^x)ln(4).

Answer 6

y = 4^x

ln y = x ln 4

implicit derivative,

(1/y) y' = ln 4

y' = y ln 4

y' = 4^x ln 4