anonymous
  • anonymous
Find f '(−3), if f(x) = (2x2 − 7x)(−x2 − 7). Round your answer to the nearest integer. Use the hyphen symbol, -, for negative values.
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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mathmale
  • mathmale
this function is presented as a product. You could either multiply out the two given terms and then differentiate the results, OR you could apply the Product Rule, the Power Rule and several others.
mathmale
  • mathmale
Anyone care to post and explain the Product Rule for differentiation?
anonymous
  • anonymous
Give me a second

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anonymous
  • anonymous
\[(f*g)\prime (x) = f(x)\prime* g(x) + f(x)* g(x)\prime \] is the product rule
mathmale
  • mathmale
if f(x) = (2x2 − 7x)(−x2 − 7, which is in the form of a product, the product of (2x^2 − 7x) and (−x2 − 7), use the product rule to find the derivative of f(x). Hint: let u= (2x^2 − 7x) and v= (−x^2 − 7). Next, find u'(x) and v'(x). Last, substitute your u, v, u' and v' into the Product Rule. @csheveland has typed this in for you (see above).

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