Solution assignment 01 Tangent line to graph

Calculate the slope of the tangent line at the point $P(2,4)$ of the graph of the function:

$y=x^2$

The derivative $y'$ of the function is:

$y'=2x$

At the point $(2,4)$ the derivative has the value:

$y'=2\cdot2=4$

and thus the slope of the tangent line at $(2,4)$ equals $4$ .