Derivative of cos x:
Use limit definition of derivative: (cos x)’= Use the cos(A + B) formula: (cos x)’= Rewrite: (cos x)’= Factor (GCF) and limit of a sum is equal to the sum of the limits: (cos x)’= Limit of a product is equal to the product of the limits: (cos x)’= Recognize special limits: (cos x)’= Simplify: (cos x)’= Take the limit… ................
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