Use the Differentiation Formulas and Rules of Derivatives to find the derivatives of the following functions.h(y)=2y−4−7y−3+4y−2+11yh′(y)=

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Sadie Eaton · Accepted Answer

Step 1: Consider the followingFunction,&amp;nbsp;h(y)=2y−4−7y−3+4y−2+11yStep 2: The objectiveis to determine the given function&#039;s derivative.Step 3: CalculationWe will use the rule,&amp;nbsp;d&amp;nbsp;dx&amp;nbsp;(xn)=nxn−1&amp;nbsp;to find the derivative as follows,h′(y)=2d&amp;nbsp;dy&amp;nbsp;(y−4)−7d&amp;nbsp;dy&amp;nbsp;(y−3)+4d&amp;nbsp;dy&amp;nbsp;(y−2)+11d&amp;nbsp;dy&amp;nbsp;(y−1)=2(−4)y−4−1−7(−3)y−3−1+4(−2)y−2−1+11(−1)y−1−1=−8y−5+21y−4−8y−3−11y−2=−8y5+21y4−8y3−11y2Step 4: ConclusionConsequently, we can say that &amp;nbsp;h′(y)=−8y5+21y4−8y3−11y2.

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Use the Differentiation Formulas and Rules of Derivatives to find the derivatives of the following functions. h(y)=2y^{-4}-7y^{-3}+4y^{-2}+\frac{11}{y} h'(y)=

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