Find the values of 𝑥 where the tangent line to the graph of 𝑓(𝑥) = √𝑥 is parallel to the line 𝑦 = 1/4 𝑥 + 5

Question

Having trouble with this question.

Answer 1

the line has slope 1/4 which is equal to the derivative of y

y=sqrx

y' = 1/2sqrx = 1/4, set the denominators equal

2sqrx = 4

sqrx =2

x = 4

Answer 2

The slope of that line = 1/4 and is equal to y' at a point of interest. So, set 1/(2sqrt(x)=1/4 to find x=4