Question

The tangent line to y=-(x-1)^4 at (1,0) has the slope?

Answer 1

Take the derivative and use the value of x given to find the slope.

Answer 2

Do you need help taking the derivative?

Answer 3

the derivative is -4(x-1)^3

Answer 4

I don't know what to do next

Answer 5

Well what did I say to do?

Answer 6

"Take the derivative and use the value of x given to find the slope."

Answer 7

X=1

Answer 8

so I replace the x with 1?

Answer 9

if i replace x with 1 the answer is 0

Answer 10

so is the answer 0?

Answer 11

Yes... Take a look at the graph.. it makes sense that the slope is zero. It is a horizontal line.
http://screencast.com/t/OCLzpQAnb