Answer
True
Work Step by Step
The nth Taylor polynomial for a function $f$ at $x=x_0$ is given by:
$$p_1(x)= f(x_0) + f'(x_0)(x-x_0) = f'(x_0)x+[f(x_0)-f'(x_0)]x_0)$$
Hence the equation shows a tangent equation with slope $f'(x_0)$, that is, a first derivative of $f$ at $x_0$.
So, the given equation is true.
