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Arlon Online Engineering Library - TechRef! Common Derivatives Below, u = u(x), v = v(x), w = w(x)               a, c, n are constants dc/dx = 0 dx/dx = 1 d(cu)/dx = c du/dx d(u + v - w)/dx = du/dx + dv/dx - dw/dx d(uv)/dx = u dv/dx + v du/dx d(uvw)/dx = uv dw/dx + uw dv/dx + vw du/dx d(un)/dx = nun-1 du/dx d[ f(u) ]/dx = {d[ f(u) ]/du} du/dx du/dx = 1/(dx/du) d(eu)/dx = eu du/dx duv/dx = vuv-1 du/dx + (ln u)uv dv/dx d(sin u)/dx = cos u du/dx d(cos u)/dx = -sin u du/dx d(tan u)/dx = sec2u du/dx d(cot u)/dx = -csc2u du/dx d(sec u)/dx = sec u tan u du/dx d(csc u)/dx = -csc u cot u du/dx    (-/2 <= sin-1u <= /2)    (0 <= cos-1u <= )    (-/2 < tan-1u < /2)    (0 <= cot-1u < )                                (0 <= sec-1u < /2) (- <= sec-1u < -/2)                                (0 < csc-1u <= /2) (- < csc-1u <= -/2)

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