calculus · worked example

Solve 1 + tan(x)

Method: sum rule. Verified step-by-step solution with our free AI math solver.
Problem

ddx(1+tan⁡x)\frac{d}{dx}(1 + \tan x)

Step-by-step solution

  1. Sum rule: ddx(1)+ddx(tan⁡x)=0+sec⁡2x\frac{d}{dx}(1) + \frac{d}{dx}(\tan x) = 0 + \sec^2 x.

  2. Result: sec⁡2x\sec^2 x.

Answer

sec⁡2(x)\sec^2(x)

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