Question

Please help, it's an easy tangent line equation question:

Find the equation to the tangent line to the curve f(x)= (x+3)^(1/5), at x=3

Answer 1

\[f(x)=\sqrt[5]{x+3}\]

Answer 2

find the derivative

Answer 3

I tried, but it gave me weird things... the square root confused me

Answer 4

\[\frac{d}{dx}(f(x))^{1/n}=\frac{1}{n}(f(x))^{\frac{1}{n}-1}f'(x)\]

Answer 5

also it is not a square root...it is a 5th root

Answer 6

Thank you!

Answer 7

np