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Section 3.3 : Differentiation Formulas

4. Find the derivative of \(h\left( y \right) = {y^{ - 4}} - 9{y^{ - 3}} + 8{y^{ - 2}} + 12\) .

Show Solution

There isn’t much to do here other than take the derivative using the rules we discussed in this section.

\[\require{bbox} \bbox[2pt,border:1px solid black]{{h'\left( y \right) = - 4{y^{ - 5}} + 27{y^{ - 4}} - 16{y^{ - 3}}}}\]