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Published byFerdinand Campbell Modified over 6 years ago

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In this section, we will consider the derivative function rather than just at a point. We also begin looking at some of the basic derivative rules.

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Let f be any function. The derivative function of f is defined as: provided the limit exists Other notations:

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Use the definition of derivative to find the derivative of the function.

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Let n be any real number (not necessarily an integer). Then:

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Find the derivative of each of the following functions. (a) (b) (c)

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Let f be any differentiable function, let k be any constant, and let. Then:

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Let f and g be any differentiable functions, and let. Then:

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Find the derivative of each of the following polynomials. (a) (b) (c)

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Give the equation of the tangent line to the curve at the point (1, 3).

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