I'm reviewing for the AP exam and would love it if someone could walk me through this problem- I know you find the derivative of the curve at the given point... but I get lost from there
The slope of a function f at any point (x,y) is y/(2x)^2. The point (2,1) is on the graph of f.
A. Write an equation of the tangent line to the graph f at x=2.
B. Use the tangent line in part (a) to approximate f(2.5).
C. Solve the differential equation dy/dx= y/(2x)^2 with the initial condition f(2)=1.
D. Use the solution in part c and find f(2.5)