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I need help on this calc question, differentiate the following function with respect to v. A and b are constants

I need help on this calc question, differentiate the following function with respect-example-1

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Given the function


y=ae^v+(b)/(v)+cv^4

To differentiate the function with respect to v, i.e dy/dv


\begin{gathered} y=ae^v+(b)/(v)+cv^4 \\ (dy)/(dv)=1(ae^v)+(-1)(bv^(-1-1))+4cv^(4-1) \end{gathered}

To give


\begin{gathered} (dy)/(dv)=1(ae^v)+(-1)(bv^(-1-1))+4cv^(4-1) \\ (dy)/(dv)=ae^v+(-1)(bv^(-2))+4cv^3 \\ (dy)/(dv)=ae^v-(b)/(v^2)+4cv^3 \end{gathered}

Hence, the answer is


(dy)/(dv)=ae^v-(b)/(v^2)+4cv^3

User Farkhat Mikhalko
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