Question

which of the following is an equation of the line tangent to the graph of f(x)= x^6-x^4 at the point where f'(x)= -1?

Answer 1

i Know the answer is y=-x-1.031 but how do you get that?

Answer 2

Take the first derivative to find the tangent line

Answer 3

\[
y-f(x_0) = f'(x_0)(x-x_0)
\]

Answer 4

In this case \(x_0=-1\). Solving for \(y\) will give you a tangent line.

Answer 5

oh okay. thanks :)