Let fi(x) E Fun(R, R) be the constant function 1, this is, fi(x) = 1 for all x ER. Recall that the tangent and secant functions satisfy the identity sec (x) = tan? +1. %3D Use this to prove that the function sec² (x) is in the span of S = {tan²(x), f1(x)} in Fun(R, R).

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A: It is the composition of two functions, they are

Q: 6. Find the tangent line to the function f(x) = 2x cos"(x) (0, 1).

A: To find the slope we need…

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Q: O 0.5

A: The given data from the problem are:The  tangent line at the point (3, 2) The point is (7, 4)

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A:

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A: