Question

if ( g(x)=cos(x) ) then ( g^{prime}(x)= ) ( g^{prime}(5)= ) question help: video message instructor submit question jump to answer

Explanation:

Step1: Find the derivative of \(g(x)\)

The derivative of \(\cos(x)\) is \(-\sin(x)\). So, \(g^{\prime}(x)=-\sin(x)\)

Step2: Evaluate \(g^{\prime}(x)\) at \(x = 5\)

Substitute \(x = 5\) into \(g^{\prime}(x)\). Then \(g^{\prime}(5)=-\sin(5)\)

Answer:

\(g^{\prime}(x)=-\sin(x)\)
\(g^{\prime}(5)=-\sin(5)\)