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Basic Differenitation Formulas

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Use the definition of the derivative to find the derivatives of the following functions:

(a) f(x) = 4
(b) Think through the steps needed to do this problem. Would the answer be the same for f(x)=5? f(x)=c for any constant c? Why or why not?
(c) Think through the steps needed to do this problem. Can you write down the steps to prove that if g(x)=c*f(x) that g'(x)=c*f'(x)?
(d) Use the definition of the derivative to write out the derivative of h(x) where h(x)=f(x) + g(x). Can you rearrange the terms to write this in terms of the derivative of f(x) and g(x)?

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Solution Summary

The expert provides a definition for the derivatives to find the derivative.

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Basic Differentiation Formulas

Use the definition of the derivative to find the derivatives of the following functions:

(a) f(x) = 4

Solution:

By using definition of derivative

Thus, if f(x) = 4 then f'(x) = 0

(b) Think through the steps needed to do this problem. Would the answer ...

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