Trig Derivatives

  • dxd​[sin(x)]=cos(x)

  • ddx[cos⁡(x)]=−sin⁡(x)\frac{d}{dx} [\cos(x)] = -\sin(x)dxd​[cos(x)]=−sin(x)

  • ddx[tan⁡(x)]=sec⁡2(x)\frac{d}{dx} [\tan(x)] = \sec^2(x)dxd​[tan(x)]=sec2(x)

  • ddx[cot⁡(x)]=−csc⁡2(x)\frac{d}{dx} [\cot(x)] = -\csc^2(x)dxd​[cot(x)]=−csc2(x)

  • ddx[sec⁡(x)]=sec⁡(x)tan⁡(x)\frac{d}{dx} [\sec(x)] = \sec(x) \tan(x)dxd​[sec(x)]=sec(x)tan(x)

  • ddx[csc⁡(x)]=−csc⁡(x)cot⁡(x)\frac{d}{dx} [\csc(x)] = -\csc(x) \cot(x)dxd​[csc(x)]=−csc(x)cot(x)