Question

Pls help

Let h be a differentiable function with a tangent line at x = n. The equation of the tangent line is y = -0.2x +0.5. What must be true about h and h' at x = π?
1. h(π) = -0.1283
II. h'(π) = 0.3
III. h(0) = 0.5​

Answer 1

It is not possible to determine what must be true about h and h' at x = π based on the information given. The equation of the tangent line at x = n tells us about the slope and y-intercept of the tangent line at that point, but it does not give us any information about the value of h or h' at x = π.

To determine what must be true about h and h' at x = π, we would need additional information about h, such as an equation for h or information about h at other points.