Question: Consider the function f(x) = 25x 5x 2 . Find (a) The derivative of f(x) from first principles; (b) The rate of change of

Consider the function f(x) = 25x – 5x2. Find

(a) The derivative of f(x) from first principles;

(b) The rate of change of f(x) at x = 1;

(c) The equation of the tangent to the graph of f(x) at the point (1, 20);

(d) The equation of the normal to the graph of f(x) at the point (1, 20).

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