Question

find the slope of the tangent to curve y= x x at x =​

Answer 1

Answer:

First you evaluate the derivative of your function y'(x):

Then you evaluate the derivative at x=1, or y'(1), which is the slope of your tangent line.

Try by yourself and if it doesn' work look below for the maths:

.

.

.

.

.

.

.

.

Solution:

y'(x)=1−2x

y'(1)=1−2=−1