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