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If f, g are differentiable at a, then prove the sum and product rules for derivatives.

If f, g are differentiable at a, then prove the sum and product rules for derivatives.

Math   Calculus   
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Answer #1

Let f and g be two functions differentiable at a point a.

According to the Sum rule for derivatives,

We will use the limit definition of the derivative to prove the above Sum rule.

According to the Product rule for derivatives,

We will use the limit definition of the derivative to prove the above Product rule.

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