# How do you use the limit definition to find the slope of the tangent line to the graph #f(x)= x(sqrt(x)-1) # at x=4?

##### 1 Answer

Nov 8, 2016

graph{(x(sqrt(x)-1)-y)(2x-y-4)=0 [-1.99, 13.814, -0.53, 7.37]}

#### Explanation:

The tangent is given by

Then

So the tangent is