- Ti Nspire CX CAS gives d/dx of tan(x) as 1/cos^2x when it should be sec^2x. Why is this happening?

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Can someone help solve this for me? I'm not quite sure how to solve them and if possible can you show work, so I understand how to do them.? Write a balanced equation for the oxidation of CO(||) to CO(|||) by hydrogen peroxide.? What is the slope intercept for paired numbers (-4,2) (0,5)? Prove the identity. ((tan x)/(1 - cot x)) + ((1 + cot x)/(tan x)) = (tan^2 x + 2 - csc^2 x) / (tan x - 1)? Using the Intermediate Value Theorem prove that for any real number c the polynomial p(x) = x^3+2x+c has a real root.?