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Topic: Science
Number of pages / Number of words: 2 / 393
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Do not confuse a composite function with the product of two functions.

An example of a composite function is h(x) = sin(5x), where f(x)=sin(g(x)) and g(x) = 5x. Now, let’s ask ourselves: How would we differentiate this function?

Other composite functions like h(x) = (x+1)5 can be differentiated by expanding first and then applying the power rule, but that is a long-winded process...


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Do not confuse a composite function with the product of two functions.

An example of a composite function is h(x) = sin(5x), where f(x)=sin(g(x)) and g(x) = 5x. Now, let’s ask ourselves: How would we differentiate this function?

Other composite functions like h(x) = (x+1)5 can be differentiated by expanding first and then applying the power rule, but that is a long-winded process...


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