MATHEMATICAL FORMULA HANDBOOK

• Differentiation

1. (uv) ' = u' v + u v'
2. (u ⁄ v)' = (u ' v - u v') ⁄ v²
3. (uv)⁽ⁿ⁾ = u⁽ⁿ⁾v + n u^(n-1) v^{(1) + ...... + +nC_r u(n-r) v(r) + ...... + uv(n)}
4. where ⁿC_r = n! ⁄(r!(n-r)!)
5. d⁄dx (sin x) = cos x
6. d⁄dx (cos x) = -sin x
7. d⁄dx (tan x) = sec² x
8. d⁄dx (sec x) = sec x tan x
9. d⁄dx (cot x) = - cosec²x
10. d⁄dx (cosec x) = -cosec x cot x

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