How do you find the equation of the tangent line to the curve $y=root4x$ at (1,1)?

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Answer 1 · 2018-04-05T00:02:49

$dy/dx=1/(4x^(3/4))$

We have:

$y=x^(1/4)$

We use the power rule:

$x^n=nx^(n-1)$ if $n$ is a constant.

$=>dy/dx=1/4*x^(1/4-1)$

$=>dy/dx=x^(-3/4)*1/4$

$=>dy/dx=1/x^(3/4)*1/4$

$=>dy/dx=1/(4x^(3/4))$

How do you find the equation of the tangent line to the curve y=root4xy=root4x at (1,1)?